Finding the Third Proportional to 152,224 and 242,428

Step by Step Solution

1. Step 1: Write the proportion equation
   152,224 : 242,428 = 242,428 : x
2. Step 2: Convert to fraction form
   152,224/242,428 = 242,428/x
3. Step 3: Cross multiply
   152,224x = 242,428 × 242,428
4. Step 4: Simplify right side
   152,224x = 58,771,335,184
5. Step 5: Solve for x
   x = 58,771,335,184/152,224
6. Step 6: Final answer
   x = 386,084.55