Finding the Third Proportional to 118,734.50 and 256,413

Step by Step Solution

1. Step 1: Write the proportion equation
   118,734.50 : 256,413 = 256,413 : x
2. Step 2: Convert to fraction form
   118,734.50/256,413 = 256,413/x
3. Step 3: Cross multiply
   118,734.50x = 256,413 × 256,413
4. Step 4: Simplify right side
   118,734.50x = 65,747,626,569
5. Step 5: Solve for x
   x = 65,747,626,569/118,734.50
6. Step 6: Final answer
   x = 553,736.50