Finding the Third Proportional to 83,955.50 and 116,362.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,955.50 : 116,362.50 = 116,362.50 : x
2. Step 2: Convert to fraction form
   83,955.50/116,362.50 = 116,362.50/x
3. Step 3: Cross multiply
   83,955.50x = 116,362.50 × 116,362.50
4. Step 4: Simplify right side
   83,955.50x = 13,540,231,406.25
5. Step 5: Solve for x
   x = 13,540,231,406.25/83,955.50
6. Step 6: Final answer
   x = 161,278.67