Finding the Third Proportional to 517,735.50 and 784,622.50

Step by Step Solution

1. Step 1: Write the proportion equation
   517,735.50 : 784,622.50 = 784,622.50 : x
2. Step 2: Convert to fraction form
   517,735.50/784,622.50 = 784,622.50/x
3. Step 3: Cross multiply
   517,735.50x = 784,622.50 × 784,622.50
4. Step 4: Simplify right side
   517,735.50x = 615,632,467,506.25
5. Step 5: Solve for x
   x = 615,632,467,506.25/517,735.50
6. Step 6: Final answer
   x = 1,189,086.84