Finding the Third Proportional to 89,762 and 189,244

Step by Step Solution

1. Step 1: Write the proportion equation
   89,762 : 189,244 = 189,244 : x
2. Step 2: Convert to fraction form
   89,762/189,244 = 189,244/x
3. Step 3: Cross multiply
   89,762x = 189,244 × 189,244
4. Step 4: Simplify right side
   89,762x = 35,813,291,536
5. Step 5: Solve for x
   x = 35,813,291,536/89,762
6. Step 6: Final answer
   x = 398,980.54