Finding the Third Proportional to 109,026 and 233,583

Step by Step Solution

1. Step 1: Write the proportion equation
   109,026 : 233,583 = 233,583 : x
2. Step 2: Convert to fraction form
   109,026/233,583 = 233,583/x
3. Step 3: Cross multiply
   109,026x = 233,583 × 233,583
4. Step 4: Simplify right side
   109,026x = 54,561,017,889
5. Step 5: Solve for x
   x = 54,561,017,889/109,026
6. Step 6: Final answer
   x = 500,440.43