Finding the Third Proportional to 77,728 and 114,042.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,728 : 114,042.50 = 114,042.50 : x
2. Step 2: Convert to fraction form
   77,728/114,042.50 = 114,042.50/x
3. Step 3: Cross multiply
   77,728x = 114,042.50 × 114,042.50
4. Step 4: Simplify right side
   77,728x = 13,005,691,806.25
5. Step 5: Solve for x
   x = 13,005,691,806.25/77,728
6. Step 6: Final answer
   x = 167,323.12