Finding the Third Proportional to 538,795 and 784,499.75

Step by Step Solution

1. Step 1: Write the proportion equation
   538,795 : 784,499.75 = 784,499.75 : x
2. Step 2: Convert to fraction form
   538,795/784,499.75 = 784,499.75/x
3. Step 3: Cross multiply
   538,795x = 784,499.75 × 784,499.75
4. Step 4: Simplify right side
   538,795x = 615,439,857,750.06
5. Step 5: Solve for x
   x = 615,439,857,750.06/538,795
6. Step 6: Final answer
   x = 1,142,252.36