Finding the Third Proportional to 100,674 and 141,123

Step by Step Solution

1. Step 1: Write the proportion equation
   100,674 : 141,123 = 141,123 : x
2. Step 2: Convert to fraction form
   100,674/141,123 = 141,123/x
3. Step 3: Cross multiply
   100,674x = 141,123 × 141,123
4. Step 4: Simplify right side
   100,674x = 19,915,701,129
5. Step 5: Solve for x
   x = 19,915,701,129/100,674
6. Step 6: Final answer
   x = 197,823.68