Finding the Third Proportional to 90,784.50 and 199,488

Step by Step Solution

1. Step 1: Write the proportion equation
   90,784.50 : 199,488 = 199,488 : x
2. Step 2: Convert to fraction form
   90,784.50/199,488 = 199,488/x
3. Step 3: Cross multiply
   90,784.50x = 199,488 × 199,488
4. Step 4: Simplify right side
   90,784.50x = 39,795,462,144
5. Step 5: Solve for x
   x = 39,795,462,144/90,784.50
6. Step 6: Final answer
   x = 438,350.84