Finding the Third Proportional to 70,978.50 and 109,884.50

Step by Step Solution

1. Step 1: Write the proportion equation
   70,978.50 : 109,884.50 = 109,884.50 : x
2. Step 2: Convert to fraction form
   70,978.50/109,884.50 = 109,884.50/x
3. Step 3: Cross multiply
   70,978.50x = 109,884.50 × 109,884.50
4. Step 4: Simplify right side
   70,978.50x = 12,074,603,340.25
5. Step 5: Solve for x
   x = 12,074,603,340.25/70,978.50
6. Step 6: Final answer
   x = 170,116.35