Finding the Third Proportional to 78,050 and 165,822

Step by Step Solution

1. Step 1: Write the proportion equation
   78,050 : 165,822 = 165,822 : x
2. Step 2: Convert to fraction form
   78,050/165,822 = 165,822/x
3. Step 3: Cross multiply
   78,050x = 165,822 × 165,822
4. Step 4: Simplify right side
   78,050x = 27,496,935,684
5. Step 5: Solve for x
   x = 27,496,935,684/78,050
6. Step 6: Final answer
   x = 352,298.98