Finding the Third Proportional to 165,280 and 362,222

Step by Step Solution

1. Step 1: Write the proportion equation
   165,280 : 362,222 = 362,222 : x
2. Step 2: Convert to fraction form
   165,280/362,222 = 362,222/x
3. Step 3: Cross multiply
   165,280x = 362,222 × 362,222
4. Step 4: Simplify right side
   165,280x = 131,204,777,284
5. Step 5: Solve for x
   x = 131,204,777,284/165,280
6. Step 6: Final answer
   x = 793,833.36