Finding the Third Proportional to 150,702.50 and 205,231

Step by Step Solution

1. Step 1: Write the proportion equation
   150,702.50 : 205,231 = 205,231 : x
2. Step 2: Convert to fraction form
   150,702.50/205,231 = 205,231/x
3. Step 3: Cross multiply
   150,702.50x = 205,231 × 205,231
4. Step 4: Simplify right side
   150,702.50x = 42,119,763,361
5. Step 5: Solve for x
   x = 42,119,763,361/150,702.50
6. Step 6: Final answer
   x = 279,489.48