Finding the Third Proportional to 91,746 and 140,535

Step by Step Solution

1. Step 1: Write the proportion equation
   91,746 : 140,535 = 140,535 : x
2. Step 2: Convert to fraction form
   91,746/140,535 = 140,535/x
3. Step 3: Cross multiply
   91,746x = 140,535 × 140,535
4. Step 4: Simplify right side
   91,746x = 19,750,086,225
5. Step 5: Solve for x
   x = 19,750,086,225/91,746
6. Step 6: Final answer
   x = 215,269.18