Finding the Third Proportional to 91,460 and 140,757

Step by Step Solution

1. Step 1: Write the proportion equation
   91,460 : 140,757 = 140,757 : x
2. Step 2: Convert to fraction form
   91,460/140,757 = 140,757/x
3. Step 3: Cross multiply
   91,460x = 140,757 × 140,757
4. Step 4: Simplify right side
   91,460x = 19,812,533,049
5. Step 5: Solve for x
   x = 19,812,533,049/91,460
6. Step 6: Final answer
   x = 216,625.12