Finding the Third Proportional to 132,410 and 205,155

Step by Step Solution

1. Step 1: Write the proportion equation
   132,410 : 205,155 = 205,155 : x
2. Step 2: Convert to fraction form
   132,410/205,155 = 205,155/x
3. Step 3: Cross multiply
   132,410x = 205,155 × 205,155
4. Step 4: Simplify right side
   132,410x = 42,088,574,025
5. Step 5: Solve for x
   x = 42,088,574,025/132,410
6. Step 6: Final answer
   x = 317,865.52