Finding the Third Proportional to 69,196.50 and 105,783.75

Step by Step Solution

1. Step 1: Write the proportion equation
   69,196.50 : 105,783.75 = 105,783.75 : x
2. Step 2: Convert to fraction form
   69,196.50/105,783.75 = 105,783.75/x
3. Step 3: Cross multiply
   69,196.50x = 105,783.75 × 105,783.75
4. Step 4: Simplify right side
   69,196.50x = 11,190,201,764.06
5. Step 5: Solve for x
   x = 11,190,201,764.06/69,196.50
6. Step 6: Final answer
   x = 161,716.30