Finding the Third Proportional to 107,314 and 233,079

Step by Step Solution

1. Step 1: Write the proportion equation
   107,314 : 233,079 = 233,079 : x
2. Step 2: Convert to fraction form
   107,314/233,079 = 233,079/x
3. Step 3: Cross multiply
   107,314x = 233,079 × 233,079
4. Step 4: Simplify right side
   107,314x = 54,325,820,241
5. Step 5: Solve for x
   x = 54,325,820,241/107,314
6. Step 6: Final answer
   x = 506,232.37