Finding the Third Proportional to 89,643 and 191,062

Step by Step Solution

1. Step 1: Write the proportion equation
   89,643 : 191,062 = 191,062 : x
2. Step 2: Convert to fraction form
   89,643/191,062 = 191,062/x
3. Step 3: Cross multiply
   89,643x = 191,062 × 191,062
4. Step 4: Simplify right side
   89,643x = 36,504,687,844
5. Step 5: Solve for x
   x = 36,504,687,844/89,643
6. Step 6: Final answer
   x = 407,222.96