Finding the Third Proportional to 227,643 and 334,083.75

Step by Step Solution

1. Step 1: Write the proportion equation
   227,643 : 334,083.75 = 334,083.75 : x
2. Step 2: Convert to fraction form
   227,643/334,083.75 = 334,083.75/x
3. Step 3: Cross multiply
   227,643x = 334,083.75 × 334,083.75
4. Step 4: Simplify right side
   227,643x = 111,611,952,014.06
5. Step 5: Solve for x
   x = 111,611,952,014.06/227,643
6. Step 6: Final answer
   x = 490,293.80