Finding the Third Proportional to 178,002 and 237,778.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,002 : 237,778.50 = 237,778.50 : x
2. Step 2: Convert to fraction form
   178,002/237,778.50 = 237,778.50/x
3. Step 3: Cross multiply
   178,002x = 237,778.50 × 237,778.50
4. Step 4: Simplify right side
   178,002x = 56,538,615,062.25
5. Step 5: Solve for x
   x = 56,538,615,062.25/178,002
6. Step 6: Final answer
   x = 317,629.10