Finding the Third Proportional to 123,547 and 269,749

Step by Step Solution

1. Step 1: Write the proportion equation
   123,547 : 269,749 = 269,749 : x
2. Step 2: Convert to fraction form
   123,547/269,749 = 269,749/x
3. Step 3: Cross multiply
   123,547x = 269,749 × 269,749
4. Step 4: Simplify right side
   123,547x = 72,764,523,001
5. Step 5: Solve for x
   x = 72,764,523,001/123,547
6. Step 6: Final answer
   x = 588,962.28