Finding the Third Proportional to 118,532 and 256,738

Step by Step Solution

1. Step 1: Write the proportion equation
   118,532 : 256,738 = 256,738 : x
2. Step 2: Convert to fraction form
   118,532/256,738 = 256,738/x
3. Step 3: Cross multiply
   118,532x = 256,738 × 256,738
4. Step 4: Simplify right side
   118,532x = 65,914,400,644
5. Step 5: Solve for x
   x = 65,914,400,644/118,532
6. Step 6: Final answer
   x = 556,089.50