Finding the Third Proportional to 131,560 and 205,032

Step by Step Solution

1. Step 1: Write the proportion equation
   131,560 : 205,032 = 205,032 : x
2. Step 2: Convert to fraction form
   131,560/205,032 = 205,032/x
3. Step 3: Cross multiply
   131,560x = 205,032 × 205,032
4. Step 4: Simplify right side
   131,560x = 42,038,121,024
5. Step 5: Solve for x
   x = 42,038,121,024/131,560
6. Step 6: Final answer
   x = 319,535.73