Finding the Third Proportional to 123,376 and 264,272

Step by Step Solution

1. Step 1: Write the proportion equation
   123,376 : 264,272 = 264,272 : x
2. Step 2: Convert to fraction form
   123,376/264,272 = 264,272/x
3. Step 3: Cross multiply
   123,376x = 264,272 × 264,272
4. Step 4: Simplify right side
   123,376x = 69,839,689,984
5. Step 5: Solve for x
   x = 69,839,689,984/123,376
6. Step 6: Final answer
   x = 566,071.93