Finding the Third Proportional to 67,500 and 146,654

Step by Step Solution

1. Step 1: Write the proportion equation
   67,500 : 146,654 = 146,654 : x
2. Step 2: Convert to fraction form
   67,500/146,654 = 146,654/x
3. Step 3: Cross multiply
   67,500x = 146,654 × 146,654
4. Step 4: Simplify right side
   67,500x = 21,507,395,716
5. Step 5: Solve for x
   x = 21,507,395,716/67,500
6. Step 6: Final answer
   x = 318,628.08