Finding the Third Proportional to 120,755.50 and 264,839

Step by Step Solution

1. Step 1: Write the proportion equation
   120,755.50 : 264,839 = 264,839 : x
2. Step 2: Convert to fraction form
   120,755.50/264,839 = 264,839/x
3. Step 3: Cross multiply
   120,755.50x = 264,839 × 264,839
4. Step 4: Simplify right side
   120,755.50x = 70,139,695,921
5. Step 5: Solve for x
   x = 70,139,695,921/120,755.50
6. Step 6: Final answer
   x = 580,840.59