Finding the Third Proportional to 41,643 and 89,932.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,643 : 89,932.50 = 89,932.50 : x
2. Step 2: Convert to fraction form
   41,643/89,932.50 = 89,932.50/x
3. Step 3: Cross multiply
   41,643x = 89,932.50 × 89,932.50
4. Step 4: Simplify right side
   41,643x = 8,087,854,556.25
5. Step 5: Solve for x
   x = 8,087,854,556.25/41,643
6. Step 6: Final answer
   x = 194,218.83