Finding the Third Proportional to 380,592 and 813,658.50

Step by Step Solution

1. Step 1: Write the proportion equation
   380,592 : 813,658.50 = 813,658.50 : x
2. Step 2: Convert to fraction form
   380,592/813,658.50 = 813,658.50/x
3. Step 3: Cross multiply
   380,592x = 813,658.50 × 813,658.50
4. Step 4: Simplify right side
   380,592x = 662,040,154,622.25
5. Step 5: Solve for x
   x = 662,040,154,622.25/380,592
6. Step 6: Final answer
   x = 1,739,500.97