Finding the Third Proportional to 116,181 and 177,610.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,181 : 177,610.50 = 177,610.50 : x
2. Step 2: Convert to fraction form
   116,181/177,610.50 = 177,610.50/x
3. Step 3: Cross multiply
   116,181x = 177,610.50 × 177,610.50
4. Step 4: Simplify right side
   116,181x = 31,545,489,710.25
5. Step 5: Solve for x
   x = 31,545,489,710.25/116,181
6. Step 6: Final answer
   x = 271,520.21