Finding the Third Proportional to 88,634 and 191,182

Step by Step Solution

1. Step 1: Write the proportion equation
   88,634 : 191,182 = 191,182 : x
2. Step 2: Convert to fraction form
   88,634/191,182 = 191,182/x
3. Step 3: Cross multiply
   88,634x = 191,182 × 191,182
4. Step 4: Simplify right side
   88,634x = 36,550,557,124
5. Step 5: Solve for x
   x = 36,550,557,124/88,634
6. Step 6: Final answer
   x = 412,376.26