Finding the Third Proportional to 172,616 and 233,216

Step by Step Solution

1. Step 1: Write the proportion equation
   172,616 : 233,216 = 233,216 : x
2. Step 2: Convert to fraction form
   172,616/233,216 = 233,216/x
3. Step 3: Cross multiply
   172,616x = 233,216 × 233,216
4. Step 4: Simplify right side
   172,616x = 54,389,702,656
5. Step 5: Solve for x
   x = 54,389,702,656/172,616
6. Step 6: Final answer
   x = 315,090.74