Finding the Third Proportional to 81,879 and 105,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,879 : 105,322.50 = 105,322.50 : x
2. Step 2: Convert to fraction form
   81,879/105,322.50 = 105,322.50/x
3. Step 3: Cross multiply
   81,879x = 105,322.50 × 105,322.50
4. Step 4: Simplify right side
   81,879x = 11,092,829,006.25
5. Step 5: Solve for x
   x = 11,092,829,006.25/81,879
6. Step 6: Final answer
   x = 135,478.32