Finding the Third Proportional to 73,857 and 161,254.50

Step by Step Solution

1. Step 1: Write the proportion equation
   73,857 : 161,254.50 = 161,254.50 : x
2. Step 2: Convert to fraction form
   73,857/161,254.50 = 161,254.50/x
3. Step 3: Cross multiply
   73,857x = 161,254.50 × 161,254.50
4. Step 4: Simplify right side
   73,857x = 26,003,013,770.25
5. Step 5: Solve for x
   x = 26,003,013,770.25/73,857
6. Step 6: Final answer
   x = 352,072.43