Finding the Third Proportional to 165,823 and 362,007

Step by Step Solution

1. Step 1: Write the proportion equation
   165,823 : 362,007 = 362,007 : x
2. Step 2: Convert to fraction form
   165,823/362,007 = 362,007/x
3. Step 3: Cross multiply
   165,823x = 362,007 × 362,007
4. Step 4: Simplify right side
   165,823x = 131,049,068,049
5. Step 5: Solve for x
   x = 131,049,068,049/165,823
6. Step 6: Final answer
   x = 790,294.88