Finding the Third Proportional to 201,896 and 294,080.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,896 : 294,080.50 = 294,080.50 : x
2. Step 2: Convert to fraction form
   201,896/294,080.50 = 294,080.50/x
3. Step 3: Cross multiply
   201,896x = 294,080.50 × 294,080.50
4. Step 4: Simplify right side
   201,896x = 86,483,340,480.25
5. Step 5: Solve for x
   x = 86,483,340,480.25/201,896
6. Step 6: Final answer
   x = 428,355.89