Finding the Third Proportional to 191,406 and 419,445

Step by Step Solution

1. Step 1: Write the proportion equation
   191,406 : 419,445 = 419,445 : x
2. Step 2: Convert to fraction form
   191,406/419,445 = 419,445/x
3. Step 3: Cross multiply
   191,406x = 419,445 × 419,445
4. Step 4: Simplify right side
   191,406x = 175,934,108,025
5. Step 5: Solve for x
   x = 175,934,108,025/191,406
6. Step 6: Final answer
   x = 919,167.15