Finding the Third Proportional to 100,674 and 141,124

Step by Step Solution

1. Step 1: Write the proportion equation
   100,674 : 141,124 = 141,124 : x
2. Step 2: Convert to fraction form
   100,674/141,124 = 141,124/x
3. Step 3: Cross multiply
   100,674x = 141,124 × 141,124
4. Step 4: Simplify right side
   100,674x = 19,915,983,376
5. Step 5: Solve for x
   x = 19,915,983,376/100,674
6. Step 6: Final answer
   x = 197,826.48