Finding the Third Proportional to 69,098 and 146,499

Step by Step Solution

1. Step 1: Write the proportion equation
   69,098 : 146,499 = 146,499 : x
2. Step 2: Convert to fraction form
   69,098/146,499 = 146,499/x
3. Step 3: Cross multiply
   69,098x = 146,499 × 146,499
4. Step 4: Simplify right side
   69,098x = 21,461,957,001
5. Step 5: Solve for x
   x = 21,461,957,001/69,098
6. Step 6: Final answer
   x = 310,601.71