Finding the Third Proportional to 109,380 and 233,926

Step by Step Solution

1. Step 1: Write the proportion equation
   109,380 : 233,926 = 233,926 : x
2. Step 2: Convert to fraction form
   109,380/233,926 = 233,926/x
3. Step 3: Cross multiply
   109,380x = 233,926 × 233,926
4. Step 4: Simplify right side
   109,380x = 54,721,373,476
5. Step 5: Solve for x
   x = 54,721,373,476/109,380
6. Step 6: Final answer
   x = 500,286.83