Finding the Third Proportional to 165,736.50 and 362,820

Step by Step Solution

1. Step 1: Write the proportion equation
   165,736.50 : 362,820 = 362,820 : x
2. Step 2: Convert to fraction form
   165,736.50/362,820 = 362,820/x
3. Step 3: Cross multiply
   165,736.50x = 362,820 × 362,820
4. Step 4: Simplify right side
   165,736.50x = 131,638,352,400
5. Step 5: Solve for x
   x = 131,638,352,400/165,736.50
6. Step 6: Final answer
   x = 794,262.90