Finding the Third Proportional to 70,643 and 105,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   70,643 : 105,965.50 = 105,965.50 : x
2. Step 2: Convert to fraction form
   70,643/105,965.50 = 105,965.50/x
3. Step 3: Cross multiply
   70,643x = 105,965.50 × 105,965.50
4. Step 4: Simplify right side
   70,643x = 11,228,687,190.25
5. Step 5: Solve for x
   x = 11,228,687,190.25/70,643
6. Step 6: Final answer
   x = 158,949.75