Finding the Third Proportional to 89,046 and 210,208.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,046 : 210,208.50 = 210,208.50 : x
2. Step 2: Convert to fraction form
   89,046/210,208.50 = 210,208.50/x
3. Step 3: Cross multiply
   89,046x = 210,208.50 × 210,208.50
4. Step 4: Simplify right side
   89,046x = 44,187,613,472.25
5. Step 5: Solve for x
   x = 44,187,613,472.25/89,046
6. Step 6: Final answer
   x = 496,233.56