Finding the Third Proportional to 299,349 and 354,705.75

Step by Step Solution

1. Step 1: Write the proportion equation
   299,349 : 354,705.75 = 354,705.75 : x
2. Step 2: Convert to fraction form
   299,349/354,705.75 = 354,705.75/x
3. Step 3: Cross multiply
   299,349x = 354,705.75 × 354,705.75
4. Step 4: Simplify right side
   299,349x = 125,816,169,083.06
5. Step 5: Solve for x
   x = 125,816,169,083.06/299,349
6. Step 6: Final answer
   x = 420,299.28