Finding the Third Proportional to 152,184 and 234,216

Step by Step Solution

1. Step 1: Write the proportion equation
   152,184 : 234,216 = 234,216 : x
2. Step 2: Convert to fraction form
   152,184/234,216 = 234,216/x
3. Step 3: Cross multiply
   152,184x = 234,216 × 234,216
4. Step 4: Simplify right side
   152,184x = 54,857,134,656
5. Step 5: Solve for x
   x = 54,857,134,656/152,184
6. Step 6: Final answer
   x = 360,465.85