Finding the Third Proportional to 91,377 and 140,632

Step by Step Solution

1. Step 1: Write the proportion equation
   91,377 : 140,632 = 140,632 : x
2. Step 2: Convert to fraction form
   91,377/140,632 = 140,632/x
3. Step 3: Cross multiply
   91,377x = 140,632 × 140,632
4. Step 4: Simplify right side
   91,377x = 19,777,359,424
5. Step 5: Solve for x
   x = 19,777,359,424/91,377
6. Step 6: Final answer
   x = 216,436.95