Finding the Third Proportional to 64,654 and 137,081

Step by Step Solution

1. Step 1: Write the proportion equation
   64,654 : 137,081 = 137,081 : x
2. Step 2: Convert to fraction form
   64,654/137,081 = 137,081/x
3. Step 3: Cross multiply
   64,654x = 137,081 × 137,081
4. Step 4: Simplify right side
   64,654x = 18,791,200,561
5. Step 5: Solve for x
   x = 18,791,200,561/64,654
6. Step 6: Final answer
   x = 290,642.51