Finding the Third Proportional to 126,886.50 and 271,269

Step by Step Solution

1. Step 1: Write the proportion equation
   126,886.50 : 271,269 = 271,269 : x
2. Step 2: Convert to fraction form
   126,886.50/271,269 = 271,269/x
3. Step 3: Cross multiply
   126,886.50x = 271,269 × 271,269
4. Step 4: Simplify right side
   126,886.50x = 73,586,870,361
5. Step 5: Solve for x
   x = 73,586,870,361/126,886.50
6. Step 6: Final answer
   x = 579,942.47