Finding the Third Proportional to 89,184 and 191,424

Step by Step Solution

1. Step 1: Write the proportion equation
   89,184 : 191,424 = 191,424 : x
2. Step 2: Convert to fraction form
   89,184/191,424 = 191,424/x
3. Step 3: Cross multiply
   89,184x = 191,424 × 191,424
4. Step 4: Simplify right side
   89,184x = 36,643,147,776
5. Step 5: Solve for x
   x = 36,643,147,776/89,184
6. Step 6: Final answer
   x = 410,871.32