Finding the Third Proportional to 91,168 and 137,968

Step by Step Solution

1. Step 1: Write the proportion equation
   91,168 : 137,968 = 137,968 : x
2. Step 2: Convert to fraction form
   91,168/137,968 = 137,968/x
3. Step 3: Cross multiply
   91,168x = 137,968 × 137,968
4. Step 4: Simplify right side
   91,168x = 19,035,169,024
5. Step 5: Solve for x
   x = 19,035,169,024/91,168
6. Step 6: Final answer
   x = 208,792.22