Finding the Third Proportional to 54,688.50 and 119,664

Step by Step Solution

1. Step 1: Write the proportion equation
   54,688.50 : 119,664 = 119,664 : x
2. Step 2: Convert to fraction form
   54,688.50/119,664 = 119,664/x
3. Step 3: Cross multiply
   54,688.50x = 119,664 × 119,664
4. Step 4: Simplify right side
   54,688.50x = 14,319,472,896
5. Step 5: Solve for x
   x = 14,319,472,896/54,688.50
6. Step 6: Final answer
   x = 261,837.00