Finding the Third Proportional to 107,772 and 234,846

Step by Step Solution

1. Step 1: Write the proportion equation
   107,772 : 234,846 = 234,846 : x
2. Step 2: Convert to fraction form
   107,772/234,846 = 234,846/x
3. Step 3: Cross multiply
   107,772x = 234,846 × 234,846
4. Step 4: Simplify right side
   107,772x = 55,152,643,716
5. Step 5: Solve for x
   x = 55,152,643,716/107,772
6. Step 6: Final answer
   x = 511,752.99