Finding the Third Proportional to 90,084 and 191,279

Step by Step Solution

1. Step 1: Write the proportion equation
   90,084 : 191,279 = 191,279 : x
2. Step 2: Convert to fraction form
   90,084/191,279 = 191,279/x
3. Step 3: Cross multiply
   90,084x = 191,279 × 191,279
4. Step 4: Simplify right side
   90,084x = 36,587,655,841
5. Step 5: Solve for x
   x = 36,587,655,841/90,084
6. Step 6: Final answer
   x = 406,150.44