Finding the Third Proportional to 124,080 and 185,623.50

Step by Step Solution

1. Step 1: Write the proportion equation
   124,080 : 185,623.50 = 185,623.50 : x
2. Step 2: Convert to fraction form
   124,080/185,623.50 = 185,623.50/x
3. Step 3: Cross multiply
   124,080x = 185,623.50 × 185,623.50
4. Step 4: Simplify right side
   124,080x = 34,456,083,752.25
5. Step 5: Solve for x
   x = 34,456,083,752.25/124,080
6. Step 6: Final answer
   x = 277,692.49