Finding the Third Proportional to 114,493.50 and 204,381

Step by Step Solution

1. Step 1: Write the proportion equation
   114,493.50 : 204,381 = 204,381 : x
2. Step 2: Convert to fraction form
   114,493.50/204,381 = 204,381/x
3. Step 3: Cross multiply
   114,493.50x = 204,381 × 204,381
4. Step 4: Simplify right side
   114,493.50x = 41,771,593,161
5. Step 5: Solve for x
   x = 41,771,593,161/114,493.50
6. Step 6: Final answer
   x = 364,838.12