Finding the Third Proportional to 123,598 and 185,400

Step by Step Solution

1. Step 1: Write the proportion equation
   123,598 : 185,400 = 185,400 : x
2. Step 2: Convert to fraction form
   123,598/185,400 = 185,400/x
3. Step 3: Cross multiply
   123,598x = 185,400 × 185,400
4. Step 4: Simplify right side
   123,598x = 34,373,160,000
5. Step 5: Solve for x
   x = 34,373,160,000/123,598
6. Step 6: Final answer
   x = 278,104.50