Finding the Third Proportional to 71,961 and 152,690

Step by Step Solution

1. Step 1: Write the proportion equation
   71,961 : 152,690 = 152,690 : x
2. Step 2: Convert to fraction form
   71,961/152,690 = 152,690/x
3. Step 3: Cross multiply
   71,961x = 152,690 × 152,690
4. Step 4: Simplify right side
   71,961x = 23,314,236,100
5. Step 5: Solve for x
   x = 23,314,236,100/71,961
6. Step 6: Final answer
   x = 323,984.33