Finding the Third Proportional to 123,351 and 264,194

Step by Step Solution

1. Step 1: Write the proportion equation
   123,351 : 264,194 = 264,194 : x
2. Step 2: Convert to fraction form
   123,351/264,194 = 264,194/x
3. Step 3: Cross multiply
   123,351x = 264,194 × 264,194
4. Step 4: Simplify right side
   123,351x = 69,798,469,636
5. Step 5: Solve for x
   x = 69,798,469,636/123,351
6. Step 6: Final answer
   x = 565,852.48