Finding the Third Proportional to 71,991 and 149,510

Step by Step Solution

1. Step 1: Write the proportion equation
   71,991 : 149,510 = 149,510 : x
2. Step 2: Convert to fraction form
   71,991/149,510 = 149,510/x
3. Step 3: Cross multiply
   71,991x = 149,510 × 149,510
4. Step 4: Simplify right side
   71,991x = 22,353,240,100
5. Step 5: Solve for x
   x = 22,353,240,100/71,991
6. Step 6: Final answer
   x = 310,500.48