Finding the Third Proportional to 116,395.50 and 177,974.25

Step by Step Solution

1. Step 1: Write the proportion equation
   116,395.50 : 177,974.25 = 177,974.25 : x
2. Step 2: Convert to fraction form
   116,395.50/177,974.25 = 177,974.25/x
3. Step 3: Cross multiply
   116,395.50x = 177,974.25 × 177,974.25
4. Step 4: Simplify right side
   116,395.50x = 31,674,833,663.06
5. Step 5: Solve for x
   x = 31,674,833,663.06/116,395.50
6. Step 6: Final answer
   x = 272,131.08