Finding the Third Proportional to 132,354 and 205,098.75

Step by Step Solution

1. Step 1: Write the proportion equation
   132,354 : 205,098.75 = 205,098.75 : x
2. Step 2: Convert to fraction form
   132,354/205,098.75 = 205,098.75/x
3. Step 3: Cross multiply
   132,354x = 205,098.75 × 205,098.75
4. Step 4: Simplify right side
   132,354x = 42,065,497,251.56
5. Step 5: Solve for x
   x = 42,065,497,251.56/132,354
6. Step 6: Final answer
   x = 317,825.66