Finding the Third Proportional to 52,224 and 123,258

Step by Step Solution

1. Step 1: Write the proportion equation
   52,224 : 123,258 = 123,258 : x
2. Step 2: Convert to fraction form
   52,224/123,258 = 123,258/x
3. Step 3: Cross multiply
   52,224x = 123,258 × 123,258
4. Step 4: Simplify right side
   52,224x = 15,192,534,564
5. Step 5: Solve for x
   x = 15,192,534,564/52,224
6. Step 6: Final answer
   x = 290,910.97