Finding the Third Proportional to 85,180.50 and 119,128.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,180.50 : 119,128.50 = 119,128.50 : x
2. Step 2: Convert to fraction form
   85,180.50/119,128.50 = 119,128.50/x
3. Step 3: Cross multiply
   85,180.50x = 119,128.50 × 119,128.50
4. Step 4: Simplify right side
   85,180.50x = 14,191,599,512.25
5. Step 5: Solve for x
   x = 14,191,599,512.25/85,180.50
6. Step 6: Final answer
   x = 166,606.20