Finding the Third Proportional to 83,974.50 and 177,424.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,974.50 : 177,424.50 = 177,424.50 : x
2. Step 2: Convert to fraction form
   83,974.50/177,424.50 = 177,424.50/x
3. Step 3: Cross multiply
   83,974.50x = 177,424.50 × 177,424.50
4. Step 4: Simplify right side
   83,974.50x = 31,479,453,200.25
5. Step 5: Solve for x
   x = 31,479,453,200.25/83,974.50
6. Step 6: Final answer
   x = 374,869.19