Finding the Third Proportional to 90,034 and 191,166

Step by Step Solution

1. Step 1: Write the proportion equation
   90,034 : 191,166 = 191,166 : x
2. Step 2: Convert to fraction form
   90,034/191,166 = 191,166/x
3. Step 3: Cross multiply
   90,034x = 191,166 × 191,166
4. Step 4: Simplify right side
   90,034x = 36,544,439,556
5. Step 5: Solve for x
   x = 36,544,439,556/90,034
6. Step 6: Final answer
   x = 405,895.99