Finding the Third Proportional to 45,930 and 101,727

Step by Step Solution

1. Step 1: Write the proportion equation
   45,930 : 101,727 = 101,727 : x
2. Step 2: Convert to fraction form
   45,930/101,727 = 101,727/x
3. Step 3: Cross multiply
   45,930x = 101,727 × 101,727
4. Step 4: Simplify right side
   45,930x = 10,348,382,529
5. Step 5: Solve for x
   x = 10,348,382,529/45,930
6. Step 6: Final answer
   x = 225,307.70