Finding the Third Proportional to 123,216 and 185,700

Step by Step Solution

1. Step 1: Write the proportion equation
   123,216 : 185,700 = 185,700 : x
2. Step 2: Convert to fraction form
   123,216/185,700 = 185,700/x
3. Step 3: Cross multiply
   123,216x = 185,700 × 185,700
4. Step 4: Simplify right side
   123,216x = 34,484,490,000
5. Step 5: Solve for x
   x = 34,484,490,000/123,216
6. Step 6: Final answer
   x = 279,870.23