Finding the Third Proportional to 538,795.75 and 784,501

Step by Step Solution

1. Step 1: Write the proportion equation
   538,795.75 : 784,501 = 784,501 : x
2. Step 2: Convert to fraction form
   538,795.75/784,501 = 784,501/x
3. Step 3: Cross multiply
   538,795.75x = 784,501 × 784,501
4. Step 4: Simplify right side
   538,795.75x = 615,441,819,001
5. Step 5: Solve for x
   x = 615,441,819,001/538,795.75
6. Step 6: Final answer
   x = 1,142,254.41