Finding the Third Proportional to 165,822 and 362,748

Step by Step Solution

1. Step 1: Write the proportion equation
   165,822 : 362,748 = 362,748 : x
2. Step 2: Convert to fraction form
   165,822/362,748 = 362,748/x
3. Step 3: Cross multiply
   165,822x = 362,748 × 362,748
4. Step 4: Simplify right side
   165,822x = 131,586,111,504
5. Step 5: Solve for x
   x = 131,586,111,504/165,822
6. Step 6: Final answer
   x = 793,538.32