Finding the Third Proportional to 108,202 and 234,662

Step by Step Solution

1. Step 1: Write the proportion equation
   108,202 : 234,662 = 234,662 : x
2. Step 2: Convert to fraction form
   108,202/234,662 = 234,662/x
3. Step 3: Cross multiply
   108,202x = 234,662 × 234,662
4. Step 4: Simplify right side
   108,202x = 55,066,254,244
5. Step 5: Solve for x
   x = 55,066,254,244/108,202
6. Step 6: Final answer
   x = 508,920.85