Finding the Third Proportional to 353,082 and 784,623.50

Step by Step Solution

1. Step 1: Write the proportion equation
   353,082 : 784,623.50 = 784,623.50 : x
2. Step 2: Convert to fraction form
   353,082/784,623.50 = 784,623.50/x
3. Step 3: Cross multiply
   353,082x = 784,623.50 × 784,623.50
4. Step 4: Simplify right side
   353,082x = 615,634,036,752.25
5. Step 5: Solve for x
   x = 615,634,036,752.25/353,082
6. Step 6: Final answer
   x = 1,743,600.74