Finding the Third Proportional to 77,826 and 116,739.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,826 : 116,739.50 = 116,739.50 : x
2. Step 2: Convert to fraction form
   77,826/116,739.50 = 116,739.50/x
3. Step 3: Cross multiply
   77,826x = 116,739.50 × 116,739.50
4. Step 4: Simplify right side
   77,826x = 13,628,110,860.25
5. Step 5: Solve for x
   x = 13,628,110,860.25/77,826
6. Step 6: Final answer
   x = 175,110.00