Finding the Third Proportional to 152,242 and 212,844

Step by Step Solution

1. Step 1: Write the proportion equation
   152,242 : 212,844 = 212,844 : x
2. Step 2: Convert to fraction form
   152,242/212,844 = 212,844/x
3. Step 3: Cross multiply
   152,242x = 212,844 × 212,844
4. Step 4: Simplify right side
   152,242x = 45,302,568,336
5. Step 5: Solve for x
   x = 45,302,568,336/152,242
6. Step 6: Final answer
   x = 297,569.45