Finding the Third Proportional to 72,957 and 150,969

Step by Step Solution

1. Step 1: Write the proportion equation
   72,957 : 150,969 = 150,969 : x
2. Step 2: Convert to fraction form
   72,957/150,969 = 150,969/x
3. Step 3: Cross multiply
   72,957x = 150,969 × 150,969
4. Step 4: Simplify right side
   72,957x = 22,791,638,961
5. Step 5: Solve for x
   x = 22,791,638,961/72,957
6. Step 6: Final answer
   x = 312,398.25