Finding the Third Proportional to 100,685 and 141,139

Step by Step Solution

1. Step 1: Write the proportion equation
   100,685 : 141,139 = 141,139 : x
2. Step 2: Convert to fraction form
   100,685/141,139 = 141,139/x
3. Step 3: Cross multiply
   100,685x = 141,139 × 141,139
4. Step 4: Simplify right side
   100,685x = 19,920,217,321
5. Step 5: Solve for x
   x = 19,920,217,321/100,685
6. Step 6: Final answer
   x = 197,846.92