Finding the Third Proportional to 81,501 and 172,815

Step by Step Solution

1. Step 1: Write the proportion equation
   81,501 : 172,815 = 172,815 : x
2. Step 2: Convert to fraction form
   81,501/172,815 = 172,815/x
3. Step 3: Cross multiply
   81,501x = 172,815 × 172,815
4. Step 4: Simplify right side
   81,501x = 29,865,024,225
5. Step 5: Solve for x
   x = 29,865,024,225/81,501
6. Step 6: Final answer
   x = 366,437.52