Finding the Third Proportional to 72,508 and 147,054

Step by Step Solution

1. Step 1: Write the proportion equation
   72,508 : 147,054 = 147,054 : x
2. Step 2: Convert to fraction form
   72,508/147,054 = 147,054/x
3. Step 3: Cross multiply
   72,508x = 147,054 × 147,054
4. Step 4: Simplify right side
   72,508x = 21,624,878,916
5. Step 5: Solve for x
   x = 21,624,878,916/72,508
6. Step 6: Final answer
   x = 298,241.28