Finding the Third Proportional to 60,099 and 138,510

Step by Step Solution

1. Step 1: Write the proportion equation
   60,099 : 138,510 = 138,510 : x
2. Step 2: Convert to fraction form
   60,099/138,510 = 138,510/x
3. Step 3: Cross multiply
   60,099x = 138,510 × 138,510
4. Step 4: Simplify right side
   60,099x = 19,185,020,100
5. Step 5: Solve for x
   x = 19,185,020,100/60,099
6. Step 6: Final answer
   x = 319,223.62