Finding the Third Proportional to 538,800 and 784,507.50

Step by Step Solution

1. Step 1: Write the proportion equation
   538,800 : 784,507.50 = 784,507.50 : x
2. Step 2: Convert to fraction form
   538,800/784,507.50 = 784,507.50/x
3. Step 3: Cross multiply
   538,800x = 784,507.50 × 784,507.50
4. Step 4: Simplify right side
   538,800x = 615,452,017,556.25
5. Step 5: Solve for x
   x = 615,452,017,556.25/538,800
6. Step 6: Final answer
   x = 1,142,264.32