Finding the Third Proportional to 87,842 and 137,139

Step by Step Solution

1. Step 1: Write the proportion equation
   87,842 : 137,139 = 137,139 : x
2. Step 2: Convert to fraction form
   87,842/137,139 = 137,139/x
3. Step 3: Cross multiply
   87,842x = 137,139 × 137,139
4. Step 4: Simplify right side
   87,842x = 18,807,105,321
5. Step 5: Solve for x
   x = 18,807,105,321/87,842
6. Step 6: Final answer
   x = 214,101.52