Finding the Third Proportional to 191,984 and 418,907

Step by Step Solution

1. Step 1: Write the proportion equation
   191,984 : 418,907 = 418,907 : x
2. Step 2: Convert to fraction form
   191,984/418,907 = 418,907/x
3. Step 3: Cross multiply
   191,984x = 418,907 × 418,907
4. Step 4: Simplify right side
   191,984x = 175,483,074,649
5. Step 5: Solve for x
   x = 175,483,074,649/191,984
6. Step 6: Final answer
   x = 914,050.52