Finding the Third Proportional to 123,602 and 185,406

Step by Step Solution

1. Step 1: Write the proportion equation
   123,602 : 185,406 = 185,406 : x
2. Step 2: Convert to fraction form
   123,602/185,406 = 185,406/x
3. Step 3: Cross multiply
   123,602x = 185,406 × 185,406
4. Step 4: Simplify right side
   123,602x = 34,375,384,836
5. Step 5: Solve for x
   x = 34,375,384,836/123,602
6. Step 6: Final answer
   x = 278,113.50