Finding the Third Proportional to 118,314 and 256,306.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,314 : 256,306.50 = 256,306.50 : x
2. Step 2: Convert to fraction form
   118,314/256,306.50 = 256,306.50/x
3. Step 3: Cross multiply
   118,314x = 256,306.50 × 256,306.50
4. Step 4: Simplify right side
   118,314x = 65,693,021,942.25
5. Step 5: Solve for x
   x = 65,693,021,942.25/118,314
6. Step 6: Final answer
   x = 555,243.01