Finding the Third Proportional to 89,772 and 189,012

Step by Step Solution

1. Step 1: Write the proportion equation
   89,772 : 189,012 = 189,012 : x
2. Step 2: Convert to fraction form
   89,772/189,012 = 189,012/x
3. Step 3: Cross multiply
   89,772x = 189,012 × 189,012
4. Step 4: Simplify right side
   89,772x = 35,725,536,144
5. Step 5: Solve for x
   x = 35,725,536,144/89,772
6. Step 6: Final answer
   x = 397,958.56