Finding the Third Proportional to 116,561.25 and 177,120

Step by Step Solution

1. Step 1: Write the proportion equation
   116,561.25 : 177,120 = 177,120 : x
2. Step 2: Convert to fraction form
   116,561.25/177,120 = 177,120/x
3. Step 3: Cross multiply
   116,561.25x = 177,120 × 177,120
4. Step 4: Simplify right side
   116,561.25x = 31,371,494,400
5. Step 5: Solve for x
   x = 31,371,494,400/116,561.25
6. Step 6: Final answer
   x = 269,141.71