Finding the Third Proportional to 116,215 and 179,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,215 : 179,578.50 = 179,578.50 : x
2. Step 2: Convert to fraction form
   116,215/179,578.50 = 179,578.50/x
3. Step 3: Cross multiply
   116,215x = 179,578.50 × 179,578.50
4. Step 4: Simplify right side
   116,215x = 32,248,437,662.25
5. Step 5: Solve for x
   x = 32,248,437,662.25/116,215
6. Step 6: Final answer
   x = 277,489.46