Finding the Third Proportional to 77,115 and 116,968.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,115 : 116,968.50 = 116,968.50 : x
2. Step 2: Convert to fraction form
   77,115/116,968.50 = 116,968.50/x
3. Step 3: Cross multiply
   77,115x = 116,968.50 × 116,968.50
4. Step 4: Simplify right side
   77,115x = 13,681,629,992.25
5. Step 5: Solve for x
   x = 13,681,629,992.25/77,115
6. Step 6: Final answer
   x = 177,418.53