Finding the Third Proportional to 194,696.50 and 284,389

Step by Step Solution

1. Step 1: Write the proportion equation
   194,696.50 : 284,389 = 284,389 : x
2. Step 2: Convert to fraction form
   194,696.50/284,389 = 284,389/x
3. Step 3: Cross multiply
   194,696.50x = 284,389 × 284,389
4. Step 4: Simplify right side
   194,696.50x = 80,877,103,321
5. Step 5: Solve for x
   x = 80,877,103,321/194,696.50
6. Step 6: Final answer
   x = 415,400.91