Finding the Third Proportional to 132,414 and 271,804.50

Step by Step Solution

1. Step 1: Write the proportion equation
   132,414 : 271,804.50 = 271,804.50 : x
2. Step 2: Convert to fraction form
   132,414/271,804.50 = 271,804.50/x
3. Step 3: Cross multiply
   132,414x = 271,804.50 × 271,804.50
4. Step 4: Simplify right side
   132,414x = 73,877,686,220.25
5. Step 5: Solve for x
   x = 73,877,686,220.25/132,414
6. Step 6: Final answer
   x = 557,929.57