Finding the Third Proportional to 107,074 and 233,216

Step by Step Solution

1. Step 1: Write the proportion equation
   107,074 : 233,216 = 233,216 : x
2. Step 2: Convert to fraction form
   107,074/233,216 = 233,216/x
3. Step 3: Cross multiply
   107,074x = 233,216 × 233,216
4. Step 4: Simplify right side
   107,074x = 54,389,702,656
5. Step 5: Solve for x
   x = 54,389,702,656/107,074
6. Step 6: Final answer
   x = 507,963.68