Finding the Third Proportional to 81,738 and 172,350

Step by Step Solution

1. Step 1: Write the proportion equation
   81,738 : 172,350 = 172,350 : x
2. Step 2: Convert to fraction form
   81,738/172,350 = 172,350/x
3. Step 3: Cross multiply
   81,738x = 172,350 × 172,350
4. Step 4: Simplify right side
   81,738x = 29,704,522,500
5. Step 5: Solve for x
   x = 29,704,522,500/81,738
6. Step 6: Final answer
   x = 363,411.42