Finding the Third Proportional to 80,506.13 and 105,895.69

Step by Step Solution

1. Step 1: Write the proportion equation
   80,506.13 : 105,895.69 = 105,895.69 : x
2. Step 2: Convert to fraction form
   80,506.13/105,895.69 = 105,895.69/x
3. Step 3: Cross multiply
   80,506.13x = 105,895.69 × 105,895.69
4. Step 4: Simplify right side
   80,506.13x = 11,213,896,631.10
5. Step 5: Solve for x
   x = 11,213,896,631.10/80,506.13
6. Step 6: Final answer
   x = 139,292.47