Finding the Third Proportional to 76,983 and 165,426

Step by Step Solution

1. Step 1: Write the proportion equation
   76,983 : 165,426 = 165,426 : x
2. Step 2: Convert to fraction form
   76,983/165,426 = 165,426/x
3. Step 3: Cross multiply
   76,983x = 165,426 × 165,426
4. Step 4: Simplify right side
   76,983x = 27,365,761,476
5. Step 5: Solve for x
   x = 27,365,761,476/76,983
6. Step 6: Final answer
   x = 355,477.98