Finding the Third Proportional to 109,467 and 233,061

Step by Step Solution

1. Step 1: Write the proportion equation
   109,467 : 233,061 = 233,061 : x
2. Step 2: Convert to fraction form
   109,467/233,061 = 233,061/x
3. Step 3: Cross multiply
   109,467x = 233,061 × 233,061
4. Step 4: Simplify right side
   109,467x = 54,317,429,721
5. Step 5: Solve for x
   x = 54,317,429,721/109,467
6. Step 6: Final answer
   x = 496,199.13