Finding the Third Proportional to 165,748.50 and 362,844

Step by Step Solution

1. Step 1: Write the proportion equation
   165,748.50 : 362,844 = 362,844 : x
2. Step 2: Convert to fraction form
   165,748.50/362,844 = 362,844/x
3. Step 3: Cross multiply
   165,748.50x = 362,844 × 362,844
4. Step 4: Simplify right side
   165,748.50x = 131,655,768,336
5. Step 5: Solve for x
   x = 131,655,768,336/165,748.50
6. Step 6: Final answer
   x = 794,310.47