Finding the Third Proportional to 121,654 and 261,300

Step by Step Solution

1. Step 1: Write the proportion equation
   121,654 : 261,300 = 261,300 : x
2. Step 2: Convert to fraction form
   121,654/261,300 = 261,300/x
3. Step 3: Cross multiply
   121,654x = 261,300 × 261,300
4. Step 4: Simplify right side
   121,654x = 68,277,690,000
5. Step 5: Solve for x
   x = 68,277,690,000/121,654
6. Step 6: Final answer
   x = 561,244.92