Finding the Third Proportional to 216,624 and 506,140.50

Step by Step Solution

1. Step 1: Write the proportion equation
   216,624 : 506,140.50 = 506,140.50 : x
2. Step 2: Convert to fraction form
   216,624/506,140.50 = 506,140.50/x
3. Step 3: Cross multiply
   216,624x = 506,140.50 × 506,140.50
4. Step 4: Simplify right side
   216,624x = 256,178,205,740.25
5. Step 5: Solve for x
   x = 256,178,205,740.25/216,624
6. Step 6: Final answer
   x = 1,182,593.83