Finding the Third Proportional to 80,434 and 118,310

Step by Step Solution

1. Step 1: Write the proportion equation
   80,434 : 118,310 = 118,310 : x
2. Step 2: Convert to fraction form
   80,434/118,310 = 118,310/x
3. Step 3: Cross multiply
   80,434x = 118,310 × 118,310
4. Step 4: Simplify right side
   80,434x = 13,997,256,100
5. Step 5: Solve for x
   x = 13,997,256,100/80,434
6. Step 6: Final answer
   x = 174,021.63