Finding the Third Proportional to 502,009,830 and 1,092,915,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   502,009,830 : 1,092,915,742.50 = 1,092,915,742.50 : x
2. Step 2: Convert to fraction form
   502,009,830/1,092,915,742.50 = 1,092,915,742.50/x
3. Step 3: Cross multiply
   502,009,830x = 1,092,915,742.50 × 1,092,915,742.50
4. Step 4: Simplify right side
   502,009,830x = 1,194,464,820,204,326,400
5. Step 5: Solve for x
   x = 1,194,464,820,204,326,400/502,009,830
6. Step 6: Final answer
   x = 2,379,365,400.48