Finding the Third Proportional to 538,354 and 784,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   538,354 : 784,162.50 = 784,162.50 : x
2. Step 2: Convert to fraction form
   538,354/784,162.50 = 784,162.50/x
3. Step 3: Cross multiply
   538,354x = 784,162.50 × 784,162.50
4. Step 4: Simplify right side
   538,354x = 614,910,826,406.25
5. Step 5: Solve for x
   x = 614,910,826,406.25/538,354
6. Step 6: Final answer
   x = 1,142,205.36