Finding the Third Proportional to 140,416 and 182,160

Step by Step Solution

1. Step 1: Write the proportion equation
   140,416 : 182,160 = 182,160 : x
2. Step 2: Convert to fraction form
   140,416/182,160 = 182,160/x
3. Step 3: Cross multiply
   140,416x = 182,160 × 182,160
4. Step 4: Simplify right side
   140,416x = 33,182,265,600
5. Step 5: Solve for x
   x = 33,182,265,600/140,416
6. Step 6: Final answer
   x = 236,313.99