Finding the Third Proportional to 69,086 and 105,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,086 : 105,633.50 = 105,633.50 : x
2. Step 2: Convert to fraction form
   69,086/105,633.50 = 105,633.50/x
3. Step 3: Cross multiply
   69,086x = 105,633.50 × 105,633.50
4. Step 4: Simplify right side
   69,086x = 11,158,436,322.25
5. Step 5: Solve for x
   x = 11,158,436,322.25/69,086
6. Step 6: Final answer
   x = 161,515.16