Finding the Third Proportional to 89,030 and 210,164

Step by Step Solution

1. Step 1: Write the proportion equation
   89,030 : 210,164 = 210,164 : x
2. Step 2: Convert to fraction form
   89,030/210,164 = 210,164/x
3. Step 3: Cross multiply
   89,030x = 210,164 × 210,164
4. Step 4: Simplify right side
   89,030x = 44,168,906,896
5. Step 5: Solve for x
   x = 44,168,906,896/89,030
6. Step 6: Final answer
   x = 496,112.62