Finding the Third Proportional to 123,585 and 185,377

Step by Step Solution

1. Step 1: Write the proportion equation
   123,585 : 185,377 = 185,377 : x
2. Step 2: Convert to fraction form
   123,585/185,377 = 185,377/x
3. Step 3: Cross multiply
   123,585x = 185,377 × 185,377
4. Step 4: Simplify right side
   123,585x = 34,364,632,129
5. Step 5: Solve for x
   x = 34,364,632,129/123,585
6. Step 6: Final answer
   x = 278,064.75