Finding the Third Proportional to 77,065.50 and 115,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,065.50 : 115,078.50 = 115,078.50 : x
2. Step 2: Convert to fraction form
   77,065.50/115,078.50 = 115,078.50/x
3. Step 3: Cross multiply
   77,065.50x = 115,078.50 × 115,078.50
4. Step 4: Simplify right side
   77,065.50x = 13,243,061,162.25
5. Step 5: Solve for x
   x = 13,243,061,162.25/77,065.50
6. Step 6: Final answer
   x = 171,841.63