Finding the Third Proportional to 116,570 and 256,468

Step by Step Solution

1. Step 1: Write the proportion equation
   116,570 : 256,468 = 256,468 : x
2. Step 2: Convert to fraction form
   116,570/256,468 = 256,468/x
3. Step 3: Cross multiply
   116,570x = 256,468 × 256,468
4. Step 4: Simplify right side
   116,570x = 65,775,835,024
5. Step 5: Solve for x
   x = 65,775,835,024/116,570
6. Step 6: Final answer
   x = 564,260.40