Finding the Third Proportional to 538,851.50 and 784,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   538,851.50 : 784,584.50 = 784,584.50 : x
2. Step 2: Convert to fraction form
   538,851.50/784,584.50 = 784,584.50/x
3. Step 3: Cross multiply
   538,851.50x = 784,584.50 × 784,584.50
4. Step 4: Simplify right side
   538,851.50x = 615,572,837,640.25
5. Step 5: Solve for x
   x = 615,572,837,640.25/538,851.50
6. Step 6: Final answer
   x = 1,142,379.37