Finding the Third Proportional to 120,823.50 and 272,980.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,823.50 : 272,980.50 = 272,980.50 : x
2. Step 2: Convert to fraction form
   120,823.50/272,980.50 = 272,980.50/x
3. Step 3: Cross multiply
   120,823.50x = 272,980.50 × 272,980.50
4. Step 4: Simplify right side
   120,823.50x = 74,518,353,380.25
5. Step 5: Solve for x
   x = 74,518,353,380.25/120,823.50
6. Step 6: Final answer
   x = 616,753.81