Finding the Third Proportional to 88,672 and 189,632

Step by Step Solution

1. Step 1: Write the proportion equation
   88,672 : 189,632 = 189,632 : x
2. Step 2: Convert to fraction form
   88,672/189,632 = 189,632/x
3. Step 3: Cross multiply
   88,672x = 189,632 × 189,632
4. Step 4: Simplify right side
   88,672x = 35,960,295,424
5. Step 5: Solve for x
   x = 35,960,295,424/88,672
6. Step 6: Final answer
   x = 405,542.85