Finding the Third Proportional to 72,474 and 146,997

Step by Step Solution

1. Step 1: Write the proportion equation
   72,474 : 146,997 = 146,997 : x
2. Step 2: Convert to fraction form
   72,474/146,997 = 146,997/x
3. Step 3: Cross multiply
   72,474x = 146,997 × 146,997
4. Step 4: Simplify right side
   72,474x = 21,608,118,009
5. Step 5: Solve for x
   x = 21,608,118,009/72,474
6. Step 6: Final answer
   x = 298,149.93