Finding the Third Proportional to 137,793.50 and 206,690

Step by Step Solution

1. Step 1: Write the proportion equation
   137,793.50 : 206,690 = 206,690 : x
2. Step 2: Convert to fraction form
   137,793.50/206,690 = 206,690/x
3. Step 3: Cross multiply
   137,793.50x = 206,690 × 206,690
4. Step 4: Simplify right side
   137,793.50x = 42,720,756,100
5. Step 5: Solve for x
   x = 42,720,756,100/137,793.50
6. Step 6: Final answer
   x = 310,034.63