Finding the Third Proportional to 72,486 and 147,009

Step by Step Solution

1. Step 1: Write the proportion equation
   72,486 : 147,009 = 147,009 : x
2. Step 2: Convert to fraction form
   72,486/147,009 = 147,009/x
3. Step 3: Cross multiply
   72,486x = 147,009 × 147,009
4. Step 4: Simplify right side
   72,486x = 21,611,646,081
5. Step 5: Solve for x
   x = 21,611,646,081/72,486
6. Step 6: Final answer
   x = 298,149.24