Finding the Third Proportional to 109,374 and 233,914

Step by Step Solution

1. Step 1: Write the proportion equation
   109,374 : 233,914 = 233,914 : x
2. Step 2: Convert to fraction form
   109,374/233,914 = 233,914/x
3. Step 3: Cross multiply
   109,374x = 233,914 × 233,914
4. Step 4: Simplify right side
   109,374x = 54,715,759,396
5. Step 5: Solve for x
   x = 54,715,759,396/109,374
6. Step 6: Final answer
   x = 500,262.95