Finding the Third Proportional to 117,054 and 256,410

Step by Step Solution

1. Step 1: Write the proportion equation
   117,054 : 256,410 = 256,410 : x
2. Step 2: Convert to fraction form
   117,054/256,410 = 256,410/x
3. Step 3: Cross multiply
   117,054x = 256,410 × 256,410
4. Step 4: Simplify right side
   117,054x = 65,746,088,100
5. Step 5: Solve for x
   x = 65,746,088,100/117,054
6. Step 6: Final answer
   x = 561,673.14