Finding the Third Proportional to 193,874.50 and 405,407

Step by Step Solution

1. Step 1: Write the proportion equation
   193,874.50 : 405,407 = 405,407 : x
2. Step 2: Convert to fraction form
   193,874.50/405,407 = 405,407/x
3. Step 3: Cross multiply
   193,874.50x = 405,407 × 405,407
4. Step 4: Simplify right side
   193,874.50x = 164,354,835,649
5. Step 5: Solve for x
   x = 164,354,835,649/193,874.50
6. Step 6: Final answer
   x = 847,738.28