Finding the Third Proportional to 80,068.50 and 115,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,068.50 : 115,969.50 = 115,969.50 : x
2. Step 2: Convert to fraction form
   80,068.50/115,969.50 = 115,969.50/x
3. Step 3: Cross multiply
   80,068.50x = 115,969.50 × 115,969.50
4. Step 4: Simplify right side
   80,068.50x = 13,448,924,930.25
5. Step 5: Solve for x
   x = 13,448,924,930.25/80,068.50
6. Step 6: Final answer
   x = 167,967.74