Finding the Third Proportional to 89,813 and 191,822

Step by Step Solution

1. Step 1: Write the proportion equation
   89,813 : 191,822 = 191,822 : x
2. Step 2: Convert to fraction form
   89,813/191,822 = 191,822/x
3. Step 3: Cross multiply
   89,813x = 191,822 × 191,822
4. Step 4: Simplify right side
   89,813x = 36,795,679,684
5. Step 5: Solve for x
   x = 36,795,679,684/89,813
6. Step 6: Final answer
   x = 409,692.13