Finding the Third Proportional to 114,912 and 172,494

Step by Step Solution

1. Step 1: Write the proportion equation
   114,912 : 172,494 = 172,494 : x
2. Step 2: Convert to fraction form
   114,912/172,494 = 172,494/x
3. Step 3: Cross multiply
   114,912x = 172,494 × 172,494
4. Step 4: Simplify right side
   114,912x = 29,754,180,036
5. Step 5: Solve for x
   x = 29,754,180,036/114,912
6. Step 6: Final answer
   x = 258,930.14