Finding the Third Proportional to 121,696.50 and 261,384

Step by Step Solution

1. Step 1: Write the proportion equation
   121,696.50 : 261,384 = 261,384 : x
2. Step 2: Convert to fraction form
   121,696.50/261,384 = 261,384/x
3. Step 3: Cross multiply
   121,696.50x = 261,384 × 261,384
4. Step 4: Simplify right side
   121,696.50x = 68,321,595,456
5. Step 5: Solve for x
   x = 68,321,595,456/121,696.50
6. Step 6: Final answer
   x = 561,409.70