Finding the Third Proportional to 131,427 and 205,897.50

Step by Step Solution

1. Step 1: Write the proportion equation
   131,427 : 205,897.50 = 205,897.50 : x
2. Step 2: Convert to fraction form
   131,427/205,897.50 = 205,897.50/x
3. Step 3: Cross multiply
   131,427x = 205,897.50 × 205,897.50
4. Step 4: Simplify right side
   131,427x = 42,393,780,506.25
5. Step 5: Solve for x
   x = 42,393,780,506.25/131,427
6. Step 6: Final answer
   x = 322,565.23