Finding the Third Proportional to 80,996 and 114,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,996 : 114,009.50 = 114,009.50 : x
2. Step 2: Convert to fraction form
   80,996/114,009.50 = 114,009.50/x
3. Step 3: Cross multiply
   80,996x = 114,009.50 × 114,009.50
4. Step 4: Simplify right side
   80,996x = 12,998,166,090.25
5. Step 5: Solve for x
   x = 12,998,166,090.25/80,996
6. Step 6: Final answer
   x = 160,479.11