Finding the Third Proportional to 394,702.50 and 830,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   394,702.50 : 830,665.50 = 830,665.50 : x
2. Step 2: Convert to fraction form
   394,702.50/830,665.50 = 830,665.50/x
3. Step 3: Cross multiply
   394,702.50x = 830,665.50 × 830,665.50
4. Step 4: Simplify right side
   394,702.50x = 690,005,172,890.25
5. Step 5: Solve for x
   x = 690,005,172,890.25/394,702.50
6. Step 6: Final answer
   x = 1,748,165.20