Finding the Third Proportional to 98,016 and 138,030

Step by Step Solution

1. Step 1: Write the proportion equation
   98,016 : 138,030 = 138,030 : x
2. Step 2: Convert to fraction form
   98,016/138,030 = 138,030/x
3. Step 3: Cross multiply
   98,016x = 138,030 × 138,030
4. Step 4: Simplify right side
   98,016x = 19,052,280,900
5. Step 5: Solve for x
   x = 19,052,280,900/98,016
6. Step 6: Final answer
   x = 194,379.29