Finding the Third Proportional to 68,661 and 145,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   68,661 : 145,462.50 = 145,462.50 : x
2. Step 2: Convert to fraction form
   68,661/145,462.50 = 145,462.50/x
3. Step 3: Cross multiply
   68,661x = 145,462.50 × 145,462.50
4. Step 4: Simplify right side
   68,661x = 21,159,338,906.25
5. Step 5: Solve for x
   x = 21,159,338,906.25/68,661
6. Step 6: Final answer
   x = 308,171.14