Finding the Third Proportional to 191,352 and 419,184

Step by Step Solution

1. Step 1: Write the proportion equation
   191,352 : 419,184 = 419,184 : x
2. Step 2: Convert to fraction form
   191,352/419,184 = 419,184/x
3. Step 3: Cross multiply
   191,352x = 419,184 × 419,184
4. Step 4: Simplify right side
   191,352x = 175,715,225,856
5. Step 5: Solve for x
   x = 175,715,225,856/191,352
6. Step 6: Final answer
   x = 918,282.67