Finding the Third Proportional to 123,780 and 264,262

Step by Step Solution

1. Step 1: Write the proportion equation
   123,780 : 264,262 = 264,262 : x
2. Step 2: Convert to fraction form
   123,780/264,262 = 264,262/x
3. Step 3: Cross multiply
   123,780x = 264,262 × 264,262
4. Step 4: Simplify right side
   123,780x = 69,834,404,644
5. Step 5: Solve for x
   x = 69,834,404,644/123,780
6. Step 6: Final answer
   x = 564,181.65