Finding the Third Proportional to 204,643 and 442,914.50

Step by Step Solution

1. Step 1: Write the proportion equation
   204,643 : 442,914.50 = 442,914.50 : x
2. Step 2: Convert to fraction form
   204,643/442,914.50 = 442,914.50/x
3. Step 3: Cross multiply
   204,643x = 442,914.50 × 442,914.50
4. Step 4: Simplify right side
   204,643x = 196,173,254,310.25
5. Step 5: Solve for x
   x = 196,173,254,310.25/204,643
6. Step 6: Final answer
   x = 958,612.09