Finding the Third Proportional to 77,986 and 116,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,986 : 116,458.50 = 116,458.50 : x
2. Step 2: Convert to fraction form
   77,986/116,458.50 = 116,458.50/x
3. Step 3: Cross multiply
   77,986x = 116,458.50 × 116,458.50
4. Step 4: Simplify right side
   77,986x = 13,562,582,222.25
5. Step 5: Solve for x
   x = 13,562,582,222.25/77,986
6. Step 6: Final answer
   x = 173,910.47