Finding the Third Proportional to 69,441 and 105,133.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,441 : 105,133.50 = 105,133.50 : x
2. Step 2: Convert to fraction form
   69,441/105,133.50 = 105,133.50/x
3. Step 3: Cross multiply
   69,441x = 105,133.50 × 105,133.50
4. Step 4: Simplify right side
   69,441x = 11,053,052,822.25
5. Step 5: Solve for x
   x = 11,053,052,822.25/69,441
6. Step 6: Final answer
   x = 159,171.86