Finding the Third Proportional to 76,552 and 165,404

Step by Step Solution

1. Step 1: Write the proportion equation
   76,552 : 165,404 = 165,404 : x
2. Step 2: Convert to fraction form
   76,552/165,404 = 165,404/x
3. Step 3: Cross multiply
   76,552x = 165,404 × 165,404
4. Step 4: Simplify right side
   76,552x = 27,358,483,216
5. Step 5: Solve for x
   x = 27,358,483,216/76,552
6. Step 6: Final answer
   x = 357,384.30