Finding the Third Proportional to 123,297 and 185,655

Step by Step Solution

1. Step 1: Write the proportion equation
   123,297 : 185,655 = 185,655 : x
2. Step 2: Convert to fraction form
   123,297/185,655 = 185,655/x
3. Step 3: Cross multiply
   123,297x = 185,655 × 185,655
4. Step 4: Simplify right side
   123,297x = 34,467,779,025
5. Step 5: Solve for x
   x = 34,467,779,025/123,297
6. Step 6: Final answer
   x = 279,550.83