Finding the Third Proportional to 68,816 and 105,410.50

Step by Step Solution

1. Step 1: Write the proportion equation
   68,816 : 105,410.50 = 105,410.50 : x
2. Step 2: Convert to fraction form
   68,816/105,410.50 = 105,410.50/x
3. Step 3: Cross multiply
   68,816x = 105,410.50 × 105,410.50
4. Step 4: Simplify right side
   68,816x = 11,111,373,510.25
5. Step 5: Solve for x
   x = 11,111,373,510.25/68,816
6. Step 6: Final answer
   x = 161,464.97