Finding the Third Proportional to 83,908.50 and 117,316.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,908.50 : 117,316.50 = 117,316.50 : x
2. Step 2: Convert to fraction form
   83,908.50/117,316.50 = 117,316.50/x
3. Step 3: Cross multiply
   83,908.50x = 117,316.50 × 117,316.50
4. Step 4: Simplify right side
   83,908.50x = 13,763,161,172.25
5. Step 5: Solve for x
   x = 13,763,161,172.25/83,908.50
6. Step 6: Final answer
   x = 164,025.83