Finding the Third Proportional to 107,606 and 233,356

Step by Step Solution

1. Step 1: Write the proportion equation
   107,606 : 233,356 = 233,356 : x
2. Step 2: Convert to fraction form
   107,606/233,356 = 233,356/x
3. Step 3: Cross multiply
   107,606x = 233,356 × 233,356
4. Step 4: Simplify right side
   107,606x = 54,455,022,736
5. Step 5: Solve for x
   x = 54,455,022,736/107,606
6. Step 6: Final answer
   x = 506,059.35