Finding the Third Proportional to 114,417.56 and 172,665.42

Step by Step Solution

1. Step 1: Write the proportion equation
   114,417.56 : 172,665.42 = 172,665.42 : x
2. Step 2: Convert to fraction form
   114,417.56/172,665.42 = 172,665.42/x
3. Step 3: Cross multiply
   114,417.56x = 172,665.42 × 172,665.42
4. Step 4: Simplify right side
   114,417.56x = 29,813,347,911.27
5. Step 5: Solve for x
   x = 29,813,347,911.27/114,417.56
6. Step 6: Final answer
   x = 260,566.19