Finding the Third Proportional to 117,962 and 256,659.25

Step by Step Solution

1. Step 1: Write the proportion equation
   117,962 : 256,659.25 = 256,659.25 : x
2. Step 2: Convert to fraction form
   117,962/256,659.25 = 256,659.25/x
3. Step 3: Cross multiply
   117,962x = 256,659.25 × 256,659.25
4. Step 4: Simplify right side
   117,962x = 65,873,970,610.56
5. Step 5: Solve for x
   x = 65,873,970,610.56/117,962
6. Step 6: Final answer
   x = 558,433.82