Finding the Third Proportional to 77,826.75 and 116,740.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,826.75 : 116,740.50 = 116,740.50 : x
2. Step 2: Convert to fraction form
   77,826.75/116,740.50 = 116,740.50/x
3. Step 3: Cross multiply
   77,826.75x = 116,740.50 × 116,740.50
4. Step 4: Simplify right side
   77,826.75x = 13,628,344,340.25
5. Step 5: Solve for x
   x = 13,628,344,340.25/77,826.75
6. Step 6: Final answer
   x = 175,111.31