Finding the Third Proportional to 85,499 and 127,770

Step by Step Solution

1. Step 1: Write the proportion equation
   85,499 : 127,770 = 127,770 : x
2. Step 2: Convert to fraction form
   85,499/127,770 = 127,770/x
3. Step 3: Cross multiply
   85,499x = 127,770 × 127,770
4. Step 4: Simplify right side
   85,499x = 16,325,172,900
5. Step 5: Solve for x
   x = 16,325,172,900/85,499
6. Step 6: Final answer
   x = 190,939.93