Finding the Third Proportional to 100,948 and 141,182

Step by Step Solution

1. Step 1: Write the proportion equation
   100,948 : 141,182 = 141,182 : x
2. Step 2: Convert to fraction form
   100,948/141,182 = 141,182/x
3. Step 3: Cross multiply
   100,948x = 141,182 × 141,182
4. Step 4: Simplify right side
   100,948x = 19,932,357,124
5. Step 5: Solve for x
   x = 19,932,357,124/100,948
6. Step 6: Final answer
   x = 197,451.73