Finding the Third Proportional to 88,840 and 189,188

Step by Step Solution

1. Step 1: Write the proportion equation
   88,840 : 189,188 = 189,188 : x
2. Step 2: Convert to fraction form
   88,840/189,188 = 189,188/x
3. Step 3: Cross multiply
   88,840x = 189,188 × 189,188
4. Step 4: Simplify right side
   88,840x = 35,792,099,344
5. Step 5: Solve for x
   x = 35,792,099,344/88,840
6. Step 6: Final answer
   x = 402,882.70