Finding the Third Proportional to 71,499 and 141,201

Step by Step Solution

1. Step 1: Write the proportion equation
   71,499 : 141,201 = 141,201 : x
2. Step 2: Convert to fraction form
   71,499/141,201 = 141,201/x
3. Step 3: Cross multiply
   71,499x = 141,201 × 141,201
4. Step 4: Simplify right side
   71,499x = 19,937,722,401
5. Step 5: Solve for x
   x = 19,937,722,401/71,499
6. Step 6: Final answer
   x = 278,853.16