Finding the Third Proportional to 827,406,502,722 and 1,164,662,952,705

Step by Step Solution

1. Step 1: Write the proportion equation
   827,406,502,722 : 1,164,662,952,705 = 1,164,662,952,705 : x
2. Step 2: Convert to fraction form
   827,406,502,722/1,164,662,952,705 = 1,164,662,952,705/x
3. Step 3: Cross multiply
   827,406,502,722x = 1,164,662,952,705 × 1,164,662,952,705
4. Step 4: Simplify right side
   827,406,502,722x = 1,356,439,793,403,529,107,865,600
5. Step 5: Solve for x
   x = 1,356,439,793,403,529,107,865,600/827,406,502,722
6. Step 6: Final answer
   x = 1,639,387,397,779.83