Finding the Third Proportional to 102,540 and 137,970

Step by Step Solution

1. Step 1: Write the proportion equation
   102,540 : 137,970 = 137,970 : x
2. Step 2: Convert to fraction form
   102,540/137,970 = 137,970/x
3. Step 3: Cross multiply
   102,540x = 137,970 × 137,970
4. Step 4: Simplify right side
   102,540x = 19,035,720,900
5. Step 5: Solve for x
   x = 19,035,720,900/102,540
6. Step 6: Final answer
   x = 185,641.90