Finding the Third Proportional to 578,934.50 and 827,122

Step by Step Solution

1. Step 1: Write the proportion equation
   578,934.50 : 827,122 = 827,122 : x
2. Step 2: Convert to fraction form
   578,934.50/827,122 = 827,122/x
3. Step 3: Cross multiply
   578,934.50x = 827,122 × 827,122
4. Step 4: Simplify right side
   578,934.50x = 684,130,802,884
5. Step 5: Solve for x
   x = 684,130,802,884/578,934.50
6. Step 6: Final answer
   x = 1,181,706.74