Finding the Third Proportional to 124,005 and 185,656.50

Step by Step Solution

1. Step 1: Write the proportion equation
   124,005 : 185,656.50 = 185,656.50 : x
2. Step 2: Convert to fraction form
   124,005/185,656.50 = 185,656.50/x
3. Step 3: Cross multiply
   124,005x = 185,656.50 × 185,656.50
4. Step 4: Simplify right side
   124,005x = 34,468,335,992.25
5. Step 5: Solve for x
   x = 34,468,335,992.25/124,005
6. Step 6: Final answer
   x = 277,959.24