Finding the Third Proportional to 83,959.50 and 177,395.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,959.50 : 177,395.25 = 177,395.25 : x
2. Step 2: Convert to fraction form
   83,959.50/177,395.25 = 177,395.25/x
3. Step 3: Cross multiply
   83,959.50x = 177,395.25 × 177,395.25
4. Step 4: Simplify right side
   83,959.50x = 31,469,074,722.56
5. Step 5: Solve for x
   x = 31,469,074,722.56/83,959.50
6. Step 6: Final answer
   x = 374,812.56