Finding the Third Proportional to 538,796 and 784,501.50

Step by Step Solution

1. Step 1: Write the proportion equation
   538,796 : 784,501.50 = 784,501.50 : x
2. Step 2: Convert to fraction form
   538,796/784,501.50 = 784,501.50/x
3. Step 3: Cross multiply
   538,796x = 784,501.50 × 784,501.50
4. Step 4: Simplify right side
   538,796x = 615,442,603,502.25
5. Step 5: Solve for x
   x = 615,442,603,502.25/538,796
6. Step 6: Final answer
   x = 1,142,255.33