Finding the Third Proportional to 68,769 and 105,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   68,769 : 105,196.50 = 105,196.50 : x
2. Step 2: Convert to fraction form
   68,769/105,196.50 = 105,196.50/x
3. Step 3: Cross multiply
   68,769x = 105,196.50 × 105,196.50
4. Step 4: Simplify right side
   68,769x = 11,066,303,612.25
5. Step 5: Solve for x
   x = 11,066,303,612.25/68,769
6. Step 6: Final answer
   x = 160,919.94