Finding the Third Proportional to 83,434 and 182,015

Step by Step Solution

1. Step 1: Write the proportion equation
   83,434 : 182,015 = 182,015 : x
2. Step 2: Convert to fraction form
   83,434/182,015 = 182,015/x
3. Step 3: Cross multiply
   83,434x = 182,015 × 182,015
4. Step 4: Simplify right side
   83,434x = 33,129,460,225
5. Step 5: Solve for x
   x = 33,129,460,225/83,434
6. Step 6: Final answer
   x = 397,073.86