Finding the Third Proportional to 165,768 and 361,899.75

Step by Step Solution

1. Step 1: Write the proportion equation
   165,768 : 361,899.75 = 361,899.75 : x
2. Step 2: Convert to fraction form
   165,768/361,899.75 = 361,899.75/x
3. Step 3: Cross multiply
   165,768x = 361,899.75 × 361,899.75
4. Step 4: Simplify right side
   165,768x = 130,971,429,050.06
5. Step 5: Solve for x
   x = 130,971,429,050.06/165,768
6. Step 6: Final answer
   x = 790,088.73