Finding the Third Proportional to 178,321 and 277,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,321 : 277,003.50 = 277,003.50 : x
2. Step 2: Convert to fraction form
   178,321/277,003.50 = 277,003.50/x
3. Step 3: Cross multiply
   178,321x = 277,003.50 × 277,003.50
4. Step 4: Simplify right side
   178,321x = 76,730,939,012.25
5. Step 5: Solve for x
   x = 76,730,939,012.25/178,321
6. Step 6: Final answer
   x = 430,296.71