Finding the Third Proportional to 165,748.50 and 362,842.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,748.50 : 362,842.50 = 362,842.50 : x
2. Step 2: Convert to fraction form
   165,748.50/362,842.50 = 362,842.50/x
3. Step 3: Cross multiply
   165,748.50x = 362,842.50 × 362,842.50
4. Step 4: Simplify right side
   165,748.50x = 131,654,679,806.25
5. Step 5: Solve for x
   x = 131,654,679,806.25/165,748.50
6. Step 6: Final answer
   x = 794,303.90