Finding the Third Proportional to 69,184 and 152,192

Step by Step Solution

1. Step 1: Write the proportion equation
   69,184 : 152,192 = 152,192 : x
2. Step 2: Convert to fraction form
   69,184/152,192 = 152,192/x
3. Step 3: Cross multiply
   69,184x = 152,192 × 152,192
4. Step 4: Simplify right side
   69,184x = 23,162,404,864
5. Step 5: Solve for x
   x = 23,162,404,864/69,184
6. Step 6: Final answer
   x = 334,794.24