Finding the Third Proportional to 89,638 and 191,052

Step by Step Solution

1. Step 1: Write the proportion equation
   89,638 : 191,052 = 191,052 : x
2. Step 2: Convert to fraction form
   89,638/191,052 = 191,052/x
3. Step 3: Cross multiply
   89,638x = 191,052 × 191,052
4. Step 4: Simplify right side
   89,638x = 36,500,866,704
5. Step 5: Solve for x
   x = 36,500,866,704/89,638
6. Step 6: Final answer
   x = 407,203.05