Finding the Third Proportional to 107,764 and 234,410

Step by Step Solution

1. Step 1: Write the proportion equation
   107,764 : 234,410 = 234,410 : x
2. Step 2: Convert to fraction form
   107,764/234,410 = 234,410/x
3. Step 3: Cross multiply
   107,764x = 234,410 × 234,410
4. Step 4: Simplify right side
   107,764x = 54,948,048,100
5. Step 5: Solve for x
   x = 54,948,048,100/107,764
6. Step 6: Final answer
   x = 509,892.43