Finding the Third Proportional to 89,440 and 189,538

Step by Step Solution

1. Step 1: Write the proportion equation
   89,440 : 189,538 = 189,538 : x
2. Step 2: Convert to fraction form
   89,440/189,538 = 189,538/x
3. Step 3: Cross multiply
   89,440x = 189,538 × 189,538
4. Step 4: Simplify right side
   89,440x = 35,924,653,444
5. Step 5: Solve for x
   x = 35,924,653,444/89,440
6. Step 6: Final answer
   x = 401,662.05