Finding the Third Proportional to 54,786 and 116,632.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,786 : 116,632.50 = 116,632.50 : x
2. Step 2: Convert to fraction form
   54,786/116,632.50 = 116,632.50/x
3. Step 3: Cross multiply
   54,786x = 116,632.50 × 116,632.50
4. Step 4: Simplify right side
   54,786x = 13,603,140,056.25
5. Step 5: Solve for x
   x = 13,603,140,056.25/54,786
6. Step 6: Final answer
   x = 248,295.92