Finding the Third Proportional to 538,357 and 784,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   538,357 : 784,166.50 = 784,166.50 : x
2. Step 2: Convert to fraction form
   538,357/784,166.50 = 784,166.50/x
3. Step 3: Cross multiply
   538,357x = 784,166.50 × 784,166.50
4. Step 4: Simplify right side
   538,357x = 614,917,099,722.25
5. Step 5: Solve for x
   x = 614,917,099,722.25/538,357
6. Step 6: Final answer
   x = 1,142,210.65