Finding the Third Proportional to 78,222 and 165,050

Step by Step Solution

1. Step 1: Write the proportion equation
   78,222 : 165,050 = 165,050 : x
2. Step 2: Convert to fraction form
   78,222/165,050 = 165,050/x
3. Step 3: Cross multiply
   78,222x = 165,050 × 165,050
4. Step 4: Simplify right side
   78,222x = 27,241,502,500
5. Step 5: Solve for x
   x = 27,241,502,500/78,222
6. Step 6: Final answer
   x = 348,258.83