Finding the Third Proportional to 137,429.25 and 298,359

Step by Step Solution

1. Step 1: Write the proportion equation
   137,429.25 : 298,359 = 298,359 : x
2. Step 2: Convert to fraction form
   137,429.25/298,359 = 298,359/x
3. Step 3: Cross multiply
   137,429.25x = 298,359 × 298,359
4. Step 4: Simplify right side
   137,429.25x = 89,018,092,881
5. Step 5: Solve for x
   x = 89,018,092,881/137,429.25
6. Step 6: Final answer
   x = 647,737.60