Finding the Third Proportional to 67,534 and 146,960

Step by Step Solution

1. Step 1: Write the proportion equation
   67,534 : 146,960 = 146,960 : x
2. Step 2: Convert to fraction form
   67,534/146,960 = 146,960/x
3. Step 3: Cross multiply
   67,534x = 146,960 × 146,960
4. Step 4: Simplify right side
   67,534x = 21,597,241,600
5. Step 5: Solve for x
   x = 21,597,241,600/67,534
6. Step 6: Final answer
   x = 319,798.05