Finding the Third Proportional to 123,356.75 and 256,410

Step by Step Solution

1. Step 1: Write the proportion equation
   123,356.75 : 256,410 = 256,410 : x
2. Step 2: Convert to fraction form
   123,356.75/256,410 = 256,410/x
3. Step 3: Cross multiply
   123,356.75x = 256,410 × 256,410
4. Step 4: Simplify right side
   123,356.75x = 65,746,088,100
5. Step 5: Solve for x
   x = 65,746,088,100/123,356.75
6. Step 6: Final answer
   x = 532,975.20