Finding the Third Proportional to 191,368 and 419,216

Step by Step Solution

1. Step 1: Write the proportion equation
   191,368 : 419,216 = 419,216 : x
2. Step 2: Convert to fraction form
   191,368/419,216 = 419,216/x
3. Step 3: Cross multiply
   191,368x = 419,216 × 419,216
4. Step 4: Simplify right side
   191,368x = 175,742,054,656
5. Step 5: Solve for x
   x = 175,742,054,656/191,368
6. Step 6: Final answer
   x = 918,346.09