Finding the Third Proportional to 89,764 and 189,248

Step by Step Solution

1. Step 1: Write the proportion equation
   89,764 : 189,248 = 189,248 : x
2. Step 2: Convert to fraction form
   89,764/189,248 = 189,248/x
3. Step 3: Cross multiply
   89,764x = 189,248 × 189,248
4. Step 4: Simplify right side
   89,764x = 35,814,805,504
5. Step 5: Solve for x
   x = 35,814,805,504/89,764
6. Step 6: Final answer
   x = 398,988.52