Finding the Third Proportional to 85,679 and 128,014

Step by Step Solution

1. Step 1: Write the proportion equation
   85,679 : 128,014 = 128,014 : x
2. Step 2: Convert to fraction form
   85,679/128,014 = 128,014/x
3. Step 3: Cross multiply
   85,679x = 128,014 × 128,014
4. Step 4: Simplify right side
   85,679x = 16,387,584,196
5. Step 5: Solve for x
   x = 16,387,584,196/85,679
6. Step 6: Final answer
   x = 191,267.22