Finding the Third Proportional to 76,009.50 and 117,004.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,009.50 : 117,004.50 = 117,004.50 : x
2. Step 2: Convert to fraction form
   76,009.50/117,004.50 = 117,004.50/x
3. Step 3: Cross multiply
   76,009.50x = 117,004.50 × 117,004.50
4. Step 4: Simplify right side
   76,009.50x = 13,690,053,020.25
5. Step 5: Solve for x
   x = 13,690,053,020.25/76,009.50
6. Step 6: Final answer
   x = 180,109.76