Finding the Third Proportional to 120,307.50 and 261,104.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,307.50 : 261,104.50 = 261,104.50 : x
2. Step 2: Convert to fraction form
   120,307.50/261,104.50 = 261,104.50/x
3. Step 3: Cross multiply
   120,307.50x = 261,104.50 × 261,104.50
4. Step 4: Simplify right side
   120,307.50x = 68,175,559,920.25
5. Step 5: Solve for x
   x = 68,175,559,920.25/120,307.50
6. Step 6: Final answer
   x = 566,677.55