Finding the Third Proportional to 71,223 and 151,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,223 : 151,978.50 = 151,978.50 : x
2. Step 2: Convert to fraction form
   71,223/151,978.50 = 151,978.50/x
3. Step 3: Cross multiply
   71,223x = 151,978.50 × 151,978.50
4. Step 4: Simplify right side
   71,223x = 23,097,464,462.25
5. Step 5: Solve for x
   x = 23,097,464,462.25/71,223
6. Step 6: Final answer
   x = 324,297.83