Finding the Third Proportional to 83,528 and 173,968

Step by Step Solution

1. Step 1: Write the proportion equation
   83,528 : 173,968 = 173,968 : x
2. Step 2: Convert to fraction form
   83,528/173,968 = 173,968/x
3. Step 3: Cross multiply
   83,528x = 173,968 × 173,968
4. Step 4: Simplify right side
   83,528x = 30,264,865,024
5. Step 5: Solve for x
   x = 30,264,865,024/83,528
6. Step 6: Final answer
   x = 362,331.97