Finding the Third Proportional to 94,894.50 and 142,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   94,894.50 : 142,078.50 = 142,078.50 : x
2. Step 2: Convert to fraction form
   94,894.50/142,078.50 = 142,078.50/x
3. Step 3: Cross multiply
   94,894.50x = 142,078.50 × 142,078.50
4. Step 4: Simplify right side
   94,894.50x = 20,186,300,162.25
5. Step 5: Solve for x
   x = 20,186,300,162.25/94,894.50
6. Step 6: Final answer
   x = 212,723.61