Finding the Third Proportional to 193,906.50 and 405,381

Step by Step Solution

1. Step 1: Write the proportion equation
   193,906.50 : 405,381 = 405,381 : x
2. Step 2: Convert to fraction form
   193,906.50/405,381 = 405,381/x
3. Step 3: Cross multiply
   193,906.50x = 405,381 × 405,381
4. Step 4: Simplify right side
   193,906.50x = 164,333,755,161
5. Step 5: Solve for x
   x = 164,333,755,161/193,906.50
6. Step 6: Final answer
   x = 847,489.67