Finding the Third Proportional to 117,732 and 256,479.75

Step by Step Solution

1. Step 1: Write the proportion equation
   117,732 : 256,479.75 = 256,479.75 : x
2. Step 2: Convert to fraction form
   117,732/256,479.75 = 256,479.75/x
3. Step 3: Cross multiply
   117,732x = 256,479.75 × 256,479.75
4. Step 4: Simplify right side
   117,732x = 65,781,862,160.06
5. Step 5: Solve for x
   x = 65,781,862,160.06/117,732
6. Step 6: Final answer
   x = 558,742.42