Finding the Third Proportional to 53,800.50 and 117,585

Step by Step Solution

1. Step 1: Write the proportion equation
   53,800.50 : 117,585 = 117,585 : x
2. Step 2: Convert to fraction form
   53,800.50/117,585 = 117,585/x
3. Step 3: Cross multiply
   53,800.50x = 117,585 × 117,585
4. Step 4: Simplify right side
   53,800.50x = 13,826,232,225
5. Step 5: Solve for x
   x = 13,826,232,225/53,800.50
6. Step 6: Final answer
   x = 256,990.78