Finding the Third Proportional to 77,718.50 and 114,025.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,718.50 : 114,025.50 = 114,025.50 : x
2. Step 2: Convert to fraction form
   77,718.50/114,025.50 = 114,025.50/x
3. Step 3: Cross multiply
   77,718.50x = 114,025.50 × 114,025.50
4. Step 4: Simplify right side
   77,718.50x = 13,001,814,650.25
5. Step 5: Solve for x
   x = 13,001,814,650.25/77,718.50
6. Step 6: Final answer
   x = 167,293.69