Finding the Third Proportional to 115,080 and 172,140

Step by Step Solution

1. Step 1: Write the proportion equation
   115,080 : 172,140 = 172,140 : x
2. Step 2: Convert to fraction form
   115,080/172,140 = 172,140/x
3. Step 3: Cross multiply
   115,080x = 172,140 × 172,140
4. Step 4: Simplify right side
   115,080x = 29,632,179,600
5. Step 5: Solve for x
   x = 29,632,179,600/115,080
6. Step 6: Final answer
   x = 257,492.00