Finding the Third Proportional to 123,854.06 and 185,697.56

Step by Step Solution

1. Step 1: Write the proportion equation
   123,854.06 : 185,697.56 = 185,697.56 : x
2. Step 2: Convert to fraction form
   123,854.06/185,697.56 = 185,697.56/x
3. Step 3: Cross multiply
   123,854.06x = 185,697.56 × 185,697.56
4. Step 4: Simplify right side
   123,854.06x = 34,483,584,718.44
5. Step 5: Solve for x
   x = 34,483,584,718.44/123,854.06
6. Step 6: Final answer
   x = 278,421.10