Finding the Third Proportional to 80,507 and 105,892

Step by Step Solution

1. Step 1: Write the proportion equation
   80,507 : 105,892 = 105,892 : x
2. Step 2: Convert to fraction form
   80,507/105,892 = 105,892/x
3. Step 3: Cross multiply
   80,507x = 105,892 × 105,892
4. Step 4: Simplify right side
   80,507x = 11,213,115,664
5. Step 5: Solve for x
   x = 11,213,115,664/80,507
6. Step 6: Final answer
   x = 139,281.25