Finding the Third Proportional to 118,582.50 and 256,848

Step by Step Solution

1. Step 1: Write the proportion equation
   118,582.50 : 256,848 = 256,848 : x
2. Step 2: Convert to fraction form
   118,582.50/256,848 = 256,848/x
3. Step 3: Cross multiply
   118,582.50x = 256,848 × 256,848
4. Step 4: Simplify right side
   118,582.50x = 65,970,895,104
5. Step 5: Solve for x
   x = 65,970,895,104/118,582.50
6. Step 6: Final answer
   x = 556,329.10