Finding the Third Proportional to 89,376 and 189,120

Step by Step Solution

1. Step 1: Write the proportion equation
   89,376 : 189,120 = 189,120 : x
2. Step 2: Convert to fraction form
   89,376/189,120 = 189,120/x
3. Step 3: Cross multiply
   89,376x = 189,120 × 189,120
4. Step 4: Simplify right side
   89,376x = 35,766,374,400
5. Step 5: Solve for x
   x = 35,766,374,400/89,376
6. Step 6: Final answer
   x = 400,178.73