Finding the Third Proportional to 76,788 and 116,257.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,788 : 116,257.50 = 116,257.50 : x
2. Step 2: Convert to fraction form
   76,788/116,257.50 = 116,257.50/x
3. Step 3: Cross multiply
   76,788x = 116,257.50 × 116,257.50
4. Step 4: Simplify right side
   76,788x = 13,515,806,306.25
5. Step 5: Solve for x
   x = 13,515,806,306.25/76,788
6. Step 6: Final answer
   x = 176,014.56