Finding the Third Proportional to 76,788 and 116,255.25

Step by Step Solution

1. Step 1: Write the proportion equation
   76,788 : 116,255.25 = 116,255.25 : x
2. Step 2: Convert to fraction form
   76,788/116,255.25 = 116,255.25/x
3. Step 3: Cross multiply
   76,788x = 116,255.25 × 116,255.25
4. Step 4: Simplify right side
   76,788x = 13,515,283,152.56
5. Step 5: Solve for x
   x = 13,515,283,152.56/76,788
6. Step 6: Final answer
   x = 176,007.75