Finding the Third Proportional to 98,082 and 152,148

Step by Step Solution

1. Step 1: Write the proportion equation
   98,082 : 152,148 = 152,148 : x
2. Step 2: Convert to fraction form
   98,082/152,148 = 152,148/x
3. Step 3: Cross multiply
   98,082x = 152,148 × 152,148
4. Step 4: Simplify right side
   98,082x = 23,149,013,904
5. Step 5: Solve for x
   x = 23,149,013,904/98,082
6. Step 6: Final answer
   x = 236,016.94