Finding the Third Proportional to 123,777 and 264,258

Step by Step Solution

1. Step 1: Write the proportion equation
   123,777 : 264,258 = 264,258 : x
2. Step 2: Convert to fraction form
   123,777/264,258 = 264,258/x
3. Step 3: Cross multiply
   123,777x = 264,258 × 264,258
4. Step 4: Simplify right side
   123,777x = 69,832,290,564
5. Step 5: Solve for x
   x = 69,832,290,564/123,777
6. Step 6: Final answer
   x = 564,178.24