Finding the Third Proportional to 89,025 and 210,153

Step by Step Solution

1. Step 1: Write the proportion equation
   89,025 : 210,153 = 210,153 : x
2. Step 2: Convert to fraction form
   89,025/210,153 = 210,153/x
3. Step 3: Cross multiply
   89,025x = 210,153 × 210,153
4. Step 4: Simplify right side
   89,025x = 44,164,283,409
5. Step 5: Solve for x
   x = 44,164,283,409/89,025
6. Step 6: Final answer
   x = 496,088.55