Finding the Third Proportional to 107,714 and 234,746

Step by Step Solution

1. Step 1: Write the proportion equation
   107,714 : 234,746 = 234,746 : x
2. Step 2: Convert to fraction form
   107,714/234,746 = 234,746/x
3. Step 3: Cross multiply
   107,714x = 234,746 × 234,746
4. Step 4: Simplify right side
   107,714x = 55,105,684,516
5. Step 5: Solve for x
   x = 55,105,684,516/107,714
6. Step 6: Final answer
   x = 511,592.59