Finding the Third Proportional to 123,159.66 and 185,620.78

Step by Step Solution

1. Step 1: Write the proportion equation
   123,159.66 : 185,620.78 = 185,620.78 : x
2. Step 2: Convert to fraction form
   123,159.66/185,620.78 = 185,620.78/x
3. Step 3: Cross multiply
   123,159.66x = 185,620.78 × 185,620.78
4. Step 4: Simplify right side
   123,159.66x = 34,455,074,431.86
5. Step 5: Solve for x
   x = 34,455,074,431.86/123,159.66
6. Step 6: Final answer
   x = 279,759.42