Finding the Third Proportional to 88,182 and 189,621

Step by Step Solution

1. Step 1: Write the proportion equation
   88,182 : 189,621 = 189,621 : x
2. Step 2: Convert to fraction form
   88,182/189,621 = 189,621/x
3. Step 3: Cross multiply
   88,182x = 189,621 × 189,621
4. Step 4: Simplify right side
   88,182x = 35,956,123,641
5. Step 5: Solve for x
   x = 35,956,123,641/88,182
6. Step 6: Final answer
   x = 407,749.02