Finding the Third Proportional to 118,212.50 and 256,085.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,212.50 : 256,085.50 = 256,085.50 : x
2. Step 2: Convert to fraction form
   118,212.50/256,085.50 = 256,085.50/x
3. Step 3: Cross multiply
   118,212.50x = 256,085.50 × 256,085.50
4. Step 4: Simplify right side
   118,212.50x = 65,579,783,310.25
5. Step 5: Solve for x
   x = 65,579,783,310.25/118,212.50
6. Step 6: Final answer
   x = 554,761.83