Finding the Third Proportional to 123,384 and 185,985

Step by Step Solution

1. Step 1: Write the proportion equation
   123,384 : 185,985 = 185,985 : x
2. Step 2: Convert to fraction form
   123,384/185,985 = 185,985/x
3. Step 3: Cross multiply
   123,384x = 185,985 × 185,985
4. Step 4: Simplify right side
   123,384x = 34,590,420,225
5. Step 5: Solve for x
   x = 34,590,420,225/123,384
6. Step 6: Final answer
   x = 280,347.70