Finding the Third Proportional to 123,374 and 185,973

Step by Step Solution

1. Step 1: Write the proportion equation
   123,374 : 185,973 = 185,973 : x
2. Step 2: Convert to fraction form
   123,374/185,973 = 185,973/x
3. Step 3: Cross multiply
   123,374x = 185,973 × 185,973
4. Step 4: Simplify right side
   123,374x = 34,585,956,729
5. Step 5: Solve for x
   x = 34,585,956,729/123,374
6. Step 6: Final answer
   x = 280,334.24