Finding the Third Proportional to 538,797 and 784,502.50

Step by Step Solution

1. Step 1: Write the proportion equation
   538,797 : 784,502.50 = 784,502.50 : x
2. Step 2: Convert to fraction form
   538,797/784,502.50 = 784,502.50/x
3. Step 3: Cross multiply
   538,797x = 784,502.50 × 784,502.50
4. Step 4: Simplify right side
   538,797x = 615,444,172,506.25
5. Step 5: Solve for x
   x = 615,444,172,506.25/538,797
6. Step 6: Final answer
   x = 1,142,256.12