Finding the Third Proportional to 88,984 and 189,271

Step by Step Solution

1. Step 1: Write the proportion equation
   88,984 : 189,271 = 189,271 : x
2. Step 2: Convert to fraction form
   88,984/189,271 = 189,271/x
3. Step 3: Cross multiply
   88,984x = 189,271 × 189,271
4. Step 4: Simplify right side
   88,984x = 35,823,511,441
5. Step 5: Solve for x
   x = 35,823,511,441/88,984
6. Step 6: Final answer
   x = 402,583.74