Finding the Third Proportional to 71,642.50 and 149,099

Step by Step Solution

1. Step 1: Write the proportion equation
   71,642.50 : 149,099 = 149,099 : x
2. Step 2: Convert to fraction form
   71,642.50/149,099 = 149,099/x
3. Step 3: Cross multiply
   71,642.50x = 149,099 × 149,099
4. Step 4: Simplify right side
   71,642.50x = 22,230,511,801
5. Step 5: Solve for x
   x = 22,230,511,801/71,642.50
6. Step 6: Final answer
   x = 310,297.82