Finding the Third Proportional to 115,662 and 178,744.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,662 : 178,744.50 = 178,744.50 : x
2. Step 2: Convert to fraction form
   115,662/178,744.50 = 178,744.50/x
3. Step 3: Cross multiply
   115,662x = 178,744.50 × 178,744.50
4. Step 4: Simplify right side
   115,662x = 31,949,596,280.25
5. Step 5: Solve for x
   x = 31,949,596,280.25/115,662
6. Step 6: Final answer
   x = 276,232.44