Finding the Third Proportional to 65,820 and 89,222

Step by Step Solution

1. Step 1: Write the proportion equation
   65,820 : 89,222 = 89,222 : x
2. Step 2: Convert to fraction form
   65,820/89,222 = 89,222/x
3. Step 3: Cross multiply
   65,820x = 89,222 × 89,222
4. Step 4: Simplify right side
   65,820x = 7,960,565,284
5. Step 5: Solve for x
   x = 7,960,565,284/65,820
6. Step 6: Final answer
   x = 120,944.47