Finding the Third Proportional to 120,811.50 and 272,950.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,811.50 : 272,950.50 = 272,950.50 : x
2. Step 2: Convert to fraction form
   120,811.50/272,950.50 = 272,950.50/x
3. Step 3: Cross multiply
   120,811.50x = 272,950.50 × 272,950.50
4. Step 4: Simplify right side
   120,811.50x = 74,501,975,450.25
5. Step 5: Solve for x
   x = 74,501,975,450.25/120,811.50
6. Step 6: Final answer
   x = 616,679.50