Finding the Third Proportional to 78,474 and 172,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,474 : 172,783.50 = 172,783.50 : x
2. Step 2: Convert to fraction form
   78,474/172,783.50 = 172,783.50/x
3. Step 3: Cross multiply
   78,474x = 172,783.50 × 172,783.50
4. Step 4: Simplify right side
   78,474x = 29,854,137,872.25
5. Step 5: Solve for x
   x = 29,854,137,872.25/78,474
6. Step 6: Final answer
   x = 380,433.49