Finding the Third Proportional to 65,788.50 and 96,222

Step by Step Solution

1. Step 1: Write the proportion equation
   65,788.50 : 96,222 = 96,222 : x
2. Step 2: Convert to fraction form
   65,788.50/96,222 = 96,222/x
3. Step 3: Cross multiply
   65,788.50x = 96,222 × 96,222
4. Step 4: Simplify right side
   65,788.50x = 9,258,673,284
5. Step 5: Solve for x
   x = 9,258,673,284/65,788.50
6. Step 6: Final answer
   x = 140,733.92