Finding the Third Proportional to 72,688 and 103,080

Step by Step Solution

1. Step 1: Write the proportion equation
   72,688 : 103,080 = 103,080 : x
2. Step 2: Convert to fraction form
   72,688/103,080 = 103,080/x
3. Step 3: Cross multiply
   72,688x = 103,080 × 103,080
4. Step 4: Simplify right side
   72,688x = 10,625,486,400
5. Step 5: Solve for x
   x = 10,625,486,400/72,688
6. Step 6: Final answer
   x = 146,179.37