Finding the Third Proportional to 119,303.25 and 259,599

Step by Step Solution

1. Step 1: Write the proportion equation
   119,303.25 : 259,599 = 259,599 : x
2. Step 2: Convert to fraction form
   119,303.25/259,599 = 259,599/x
3. Step 3: Cross multiply
   119,303.25x = 259,599 × 259,599
4. Step 4: Simplify right side
   119,303.25x = 67,391,640,801
5. Step 5: Solve for x
   x = 67,391,640,801/119,303.25
6. Step 6: Final answer
   x = 564,876.82