Finding the Third Proportional to 114,548 and 172,034

Step by Step Solution

1. Step 1: Write the proportion equation
   114,548 : 172,034 = 172,034 : x
2. Step 2: Convert to fraction form
   114,548/172,034 = 172,034/x
3. Step 3: Cross multiply
   114,548x = 172,034 × 172,034
4. Step 4: Simplify right side
   114,548x = 29,595,697,156
5. Step 5: Solve for x
   x = 29,595,697,156/114,548
6. Step 6: Final answer
   x = 258,369.39