Finding the Third Proportional to 538,410 and 784,246.50

Step by Step Solution

1. Step 1: Write the proportion equation
   538,410 : 784,246.50 = 784,246.50 : x
2. Step 2: Convert to fraction form
   538,410/784,246.50 = 784,246.50/x
3. Step 3: Cross multiply
   538,410x = 784,246.50 × 784,246.50
4. Step 4: Simplify right side
   538,410x = 615,042,572,762.25
5. Step 5: Solve for x
   x = 615,042,572,762.25/538,410
6. Step 6: Final answer
   x = 1,142,331.26