Finding the Third Proportional to 109,566 and 233,253

Step by Step Solution

1. Step 1: Write the proportion equation
   109,566 : 233,253 = 233,253 : x
2. Step 2: Convert to fraction form
   109,566/233,253 = 233,253/x
3. Step 3: Cross multiply
   109,566x = 233,253 × 233,253
4. Step 4: Simplify right side
   109,566x = 54,406,962,009
5. Step 5: Solve for x
   x = 54,406,962,009/109,566
6. Step 6: Final answer
   x = 496,567.93