Finding the Third Proportional to 106,771.50 and 160,084.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,771.50 : 160,084.50 = 160,084.50 : x
2. Step 2: Convert to fraction form
   106,771.50/160,084.50 = 160,084.50/x
3. Step 3: Cross multiply
   106,771.50x = 160,084.50 × 160,084.50
4. Step 4: Simplify right side
   106,771.50x = 25,627,047,140.25
5. Step 5: Solve for x
   x = 25,627,047,140.25/106,771.50
6. Step 6: Final answer
   x = 240,017.67