Finding the Third Proportional to 89,341 and 191,630

Step by Step Solution

1. Step 1: Write the proportion equation
   89,341 : 191,630 = 191,630 : x
2. Step 2: Convert to fraction form
   89,341/191,630 = 191,630/x
3. Step 3: Cross multiply
   89,341x = 191,630 × 191,630
4. Step 4: Simplify right side
   89,341x = 36,722,056,900
5. Step 5: Solve for x
   x = 36,722,056,900/89,341
6. Step 6: Final answer
   x = 411,032.53