Finding the Third Proportional to 137,260.50 and 296,391

Step by Step Solution

1. Step 1: Write the proportion equation
   137,260.50 : 296,391 = 296,391 : x
2. Step 2: Convert to fraction form
   137,260.50/296,391 = 296,391/x
3. Step 3: Cross multiply
   137,260.50x = 296,391 × 296,391
4. Step 4: Simplify right side
   137,260.50x = 87,847,624,881
5. Step 5: Solve for x
   x = 87,847,624,881/137,260.50
6. Step 6: Final answer
   x = 640,006.59