Finding the Third Proportional to 123,564 and 269,964

Step by Step Solution

1. Step 1: Write the proportion equation
   123,564 : 269,964 = 269,964 : x
2. Step 2: Convert to fraction form
   123,564/269,964 = 269,964/x
3. Step 3: Cross multiply
   123,564x = 269,964 × 269,964
4. Step 4: Simplify right side
   123,564x = 72,880,561,296
5. Step 5: Solve for x
   x = 72,880,561,296/123,564
6. Step 6: Final answer
   x = 589,820.35