Finding the Third Proportional to 85,840 and 128,262

Step by Step Solution

1. Step 1: Write the proportion equation
   85,840 : 128,262 = 128,262 : x
2. Step 2: Convert to fraction form
   85,840/128,262 = 128,262/x
3. Step 3: Cross multiply
   85,840x = 128,262 × 128,262
4. Step 4: Simplify right side
   85,840x = 16,451,140,644
5. Step 5: Solve for x
   x = 16,451,140,644/85,840
6. Step 6: Final answer
   x = 191,648.89