Finding the Third Proportional to 194,499 and 284,809.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,499 : 284,809.50 = 284,809.50 : x
2. Step 2: Convert to fraction form
   194,499/284,809.50 = 284,809.50/x
3. Step 3: Cross multiply
   194,499x = 284,809.50 × 284,809.50
4. Step 4: Simplify right side
   194,499x = 81,116,451,290.25
5. Step 5: Solve for x
   x = 81,116,451,290.25/194,499
6. Step 6: Final answer
   x = 417,053.31