Finding the Third Proportional to 77,614 and 165,404

Step by Step Solution

1. Step 1: Write the proportion equation
   77,614 : 165,404 = 165,404 : x
2. Step 2: Convert to fraction form
   77,614/165,404 = 165,404/x
3. Step 3: Cross multiply
   77,614x = 165,404 × 165,404
4. Step 4: Simplify right side
   77,614x = 27,358,483,216
5. Step 5: Solve for x
   x = 27,358,483,216/77,614
6. Step 6: Final answer
   x = 352,494.18