Finding the Third Proportional to 123,633 and 185,364

Step by Step Solution

1. Step 1: Write the proportion equation
   123,633 : 185,364 = 185,364 : x
2. Step 2: Convert to fraction form
   123,633/185,364 = 185,364/x
3. Step 3: Cross multiply
   123,633x = 185,364 × 185,364
4. Step 4: Simplify right side
   123,633x = 34,359,812,496
5. Step 5: Solve for x
   x = 34,359,812,496/123,633
6. Step 6: Final answer
   x = 277,917.81