Finding the Third Proportional to 132,414 and 271,803.75

Step by Step Solution

1. Step 1: Write the proportion equation
   132,414 : 271,803.75 = 271,803.75 : x
2. Step 2: Convert to fraction form
   132,414/271,803.75 = 271,803.75/x
3. Step 3: Cross multiply
   132,414x = 271,803.75 × 271,803.75
4. Step 4: Simplify right side
   132,414x = 73,877,278,514.06
5. Step 5: Solve for x
   x = 73,877,278,514.06/132,414
6. Step 6: Final answer
   x = 557,926.49