Finding the Third Proportional to 67,461 and 146,099

Step by Step Solution

1. Step 1: Write the proportion equation
   67,461 : 146,099 = 146,099 : x
2. Step 2: Convert to fraction form
   67,461/146,099 = 146,099/x
3. Step 3: Cross multiply
   67,461x = 146,099 × 146,099
4. Step 4: Simplify right side
   67,461x = 21,344,917,801
5. Step 5: Solve for x
   x = 21,344,917,801/67,461
6. Step 6: Final answer
   x = 316,403.82