Finding the Third Proportional to 67,821 and 103,309.50

Step by Step Solution

1. Step 1: Write the proportion equation
   67,821 : 103,309.50 = 103,309.50 : x
2. Step 2: Convert to fraction form
   67,821/103,309.50 = 103,309.50/x
3. Step 3: Cross multiply
   67,821x = 103,309.50 × 103,309.50
4. Step 4: Simplify right side
   67,821x = 10,672,852,790.25
5. Step 5: Solve for x
   x = 10,672,852,790.25/67,821
6. Step 6: Final answer
   x = 157,367.97