Finding the Third Proportional to 123,642 and 185,490

Step by Step Solution

1. Step 1: Write the proportion equation
   123,642 : 185,490 = 185,490 : x
2. Step 2: Convert to fraction form
   123,642/185,490 = 185,490/x
3. Step 3: Cross multiply
   123,642x = 185,490 × 185,490
4. Step 4: Simplify right side
   123,642x = 34,406,540,100
5. Step 5: Solve for x
   x = 34,406,540,100/123,642
6. Step 6: Final answer
   x = 278,275.51