Finding the Third Proportional to 102,080.25 and 162,144

Step by Step Solution

1. Step 1: Write the proportion equation
   102,080.25 : 162,144 = 162,144 : x
2. Step 2: Convert to fraction form
   102,080.25/162,144 = 162,144/x
3. Step 3: Cross multiply
   102,080.25x = 162,144 × 162,144
4. Step 4: Simplify right side
   102,080.25x = 26,290,676,736
5. Step 5: Solve for x
   x = 26,290,676,736/102,080.25
6. Step 6: Final answer
   x = 257,549.10