Finding the Third Proportional to 123,624 and 185,436

Step by Step Solution

1. Step 1: Write the proportion equation
   123,624 : 185,436 = 185,436 : x
2. Step 2: Convert to fraction form
   123,624/185,436 = 185,436/x
3. Step 3: Cross multiply
   123,624x = 185,436 × 185,436
4. Step 4: Simplify right side
   123,624x = 34,386,510,096
5. Step 5: Solve for x
   x = 34,386,510,096/123,624
6. Step 6: Final answer
   x = 278,154