Finding the Third Proportional to 116,397 and 177,976.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,397 : 177,976.50 = 177,976.50 : x
2. Step 2: Convert to fraction form
   116,397/177,976.50 = 177,976.50/x
3. Step 3: Cross multiply
   116,397x = 177,976.50 × 177,976.50
4. Step 4: Simplify right side
   116,397x = 31,675,634,552.25
5. Step 5: Solve for x
   x = 31,675,634,552.25/116,397
6. Step 6: Final answer
   x = 272,134.46