Finding the Third Proportional to 101,988 and 137,412

Step by Step Solution

1. Step 1: Write the proportion equation
   101,988 : 137,412 = 137,412 : x
2. Step 2: Convert to fraction form
   101,988/137,412 = 137,412/x
3. Step 3: Cross multiply
   101,988x = 137,412 × 137,412
4. Step 4: Simplify right side
   101,988x = 18,882,057,744
5. Step 5: Solve for x
   x = 18,882,057,744/101,988
6. Step 6: Final answer
   x = 185,139.99