Finding the Third Proportional to 191,410 and 419,454

Step by Step Solution

1. Step 1: Write the proportion equation
   191,410 : 419,454 = 419,454 : x
2. Step 2: Convert to fraction form
   191,410/419,454 = 419,454/x
3. Step 3: Cross multiply
   191,410x = 419,454 × 419,454
4. Step 4: Simplify right side
   191,410x = 175,941,658,116
5. Step 5: Solve for x
   x = 175,941,658,116/191,410
6. Step 6: Final answer
   x = 919,187.39