Finding the Third Proportional to 96,900 and 146,538

Step by Step Solution

1. Step 1: Write the proportion equation
   96,900 : 146,538 = 146,538 : x
2. Step 2: Convert to fraction form
   96,900/146,538 = 146,538/x
3. Step 3: Cross multiply
   96,900x = 146,538 × 146,538
4. Step 4: Simplify right side
   96,900x = 21,473,385,444
5. Step 5: Solve for x
   x = 21,473,385,444/96,900
6. Step 6: Final answer
   x = 221,603.56