Finding the Third Proportional to 78,457 and 171,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,457 : 171,493.50 = 171,493.50 : x
2. Step 2: Convert to fraction form
   78,457/171,493.50 = 171,493.50/x
3. Step 3: Cross multiply
   78,457x = 171,493.50 × 171,493.50
4. Step 4: Simplify right side
   78,457x = 29,410,020,542.25
5. Step 5: Solve for x
   x = 29,410,020,542.25/78,457
6. Step 6: Final answer
   x = 374,855.28