Finding the Third Proportional to 131,422.50 and 205,893

Step by Step Solution

1. Step 1: Write the proportion equation
   131,422.50 : 205,893 = 205,893 : x
2. Step 2: Convert to fraction form
   131,422.50/205,893 = 205,893/x
3. Step 3: Cross multiply
   131,422.50x = 205,893 × 205,893
4. Step 4: Simplify right side
   131,422.50x = 42,391,927,449
5. Step 5: Solve for x
   x = 42,391,927,449/131,422.50
6. Step 6: Final answer
   x = 322,562.18