Finding the Third Proportional to 67,537 and 146,966

Step by Step Solution

1. Step 1: Write the proportion equation
   67,537 : 146,966 = 146,966 : x
2. Step 2: Convert to fraction form
   67,537/146,966 = 146,966/x
3. Step 3: Cross multiply
   67,537x = 146,966 × 146,966
4. Step 4: Simplify right side
   67,537x = 21,599,005,156
5. Step 5: Solve for x
   x = 21,599,005,156/67,537
6. Step 6: Final answer
   x = 319,809.96