Finding the Third Proportional to 114,597 and 172,111

Step by Step Solution

1. Step 1: Write the proportion equation
   114,597 : 172,111 = 172,111 : x
2. Step 2: Convert to fraction form
   114,597/172,111 = 172,111/x
3. Step 3: Cross multiply
   114,597x = 172,111 × 172,111
4. Step 4: Simplify right side
   114,597x = 29,622,196,321
5. Step 5: Solve for x
   x = 29,622,196,321/114,597
6. Step 6: Final answer
   x = 258,490.16