Finding the Third Proportional to 78,971 and 150,664

Step by Step Solution

1. Step 1: Write the proportion equation
   78,971 : 150,664 = 150,664 : x
2. Step 2: Convert to fraction form
   78,971/150,664 = 150,664/x
3. Step 3: Cross multiply
   78,971x = 150,664 × 150,664
4. Step 4: Simplify right side
   78,971x = 22,699,640,896
5. Step 5: Solve for x
   x = 22,699,640,896/78,971
6. Step 6: Final answer
   x = 287,442.74