Finding the Third Proportional to 328,374 and 419,591.25

Step by Step Solution

1. Step 1: Write the proportion equation
   328,374 : 419,591.25 = 419,591.25 : x
2. Step 2: Convert to fraction form
   328,374/419,591.25 = 419,591.25/x
3. Step 3: Cross multiply
   328,374x = 419,591.25 × 419,591.25
4. Step 4: Simplify right side
   328,374x = 176,056,817,076.56
5. Step 5: Solve for x
   x = 176,056,817,076.56/328,374
6. Step 6: Final answer
   x = 536,147.25