Finding the Third Proportional to 114,605 and 177,091.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,605 : 177,091.50 = 177,091.50 : x
2. Step 2: Convert to fraction form
   114,605/177,091.50 = 177,091.50/x
3. Step 3: Cross multiply
   114,605x = 177,091.50 × 177,091.50
4. Step 4: Simplify right side
   114,605x = 31,361,399,372.25
5. Step 5: Solve for x
   x = 31,361,399,372.25/114,605
6. Step 6: Final answer
   x = 273,647.74