Finding the Third Proportional to 122,927.88 and 185,522.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,927.88 : 185,522.50 = 185,522.50 : x
2. Step 2: Convert to fraction form
   122,927.88/185,522.50 = 185,522.50/x
3. Step 3: Cross multiply
   122,927.88x = 185,522.50 × 185,522.50
4. Step 4: Simplify right side
   122,927.88x = 34,418,598,006.25
5. Step 5: Solve for x
   x = 34,418,598,006.25/122,927.88
6. Step 6: Final answer
   x = 279,990.18