Finding the Third Proportional to 72,471 and 114,543

Step by Step Solution

1. Step 1: Write the proportion equation
   72,471 : 114,543 = 114,543 : x
2. Step 2: Convert to fraction form
   72,471/114,543 = 114,543/x
3. Step 3: Cross multiply
   72,471x = 114,543 × 114,543
4. Step 4: Simplify right side
   72,471x = 13,120,098,849
5. Step 5: Solve for x
   x = 13,120,098,849/72,471
6. Step 6: Final answer
   x = 181,039.30