Finding the Third Proportional to 68,298 and 139,306.50

Step by Step Solution

1. Step 1: Write the proportion equation
   68,298 : 139,306.50 = 139,306.50 : x
2. Step 2: Convert to fraction form
   68,298/139,306.50 = 139,306.50/x
3. Step 3: Cross multiply
   68,298x = 139,306.50 × 139,306.50
4. Step 4: Simplify right side
   68,298x = 19,406,300,942.25
5. Step 5: Solve for x
   x = 19,406,300,942.25/68,298
6. Step 6: Final answer
   x = 284,141.57