Finding the Third Proportional to 89,122 and 191,684

Step by Step Solution

1. Step 1: Write the proportion equation
   89,122 : 191,684 = 191,684 : x
2. Step 2: Convert to fraction form
   89,122/191,684 = 191,684/x
3. Step 3: Cross multiply
   89,122x = 191,684 × 191,684
4. Step 4: Simplify right side
   89,122x = 36,742,755,856
5. Step 5: Solve for x
   x = 36,742,755,856/89,122
6. Step 6: Final answer
   x = 412,274.81