Finding the Third Proportional to 53,781 and 78,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,781 : 78,766.50 = 78,766.50 : x
2. Step 2: Convert to fraction form
   53,781/78,766.50 = 78,766.50/x
3. Step 3: Cross multiply
   53,781x = 78,766.50 × 78,766.50
4. Step 4: Simplify right side
   53,781x = 6,204,161,522.25
5. Step 5: Solve for x
   x = 6,204,161,522.25/53,781
6. Step 6: Final answer
   x = 115,359.73