Finding the Third Proportional to 114,661 and 177,103.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,661 : 177,103.50 = 177,103.50 : x
2. Step 2: Convert to fraction form
   114,661/177,103.50 = 177,103.50/x
3. Step 3: Cross multiply
   114,661x = 177,103.50 × 177,103.50
4. Step 4: Simplify right side
   114,661x = 31,365,649,712.25
5. Step 5: Solve for x
   x = 31,365,649,712.25/114,661
6. Step 6: Final answer
   x = 273,551.16