Finding the Third Proportional to 152,238 and 212,838

Step by Step Solution

1. Step 1: Write the proportion equation
   152,238 : 212,838 = 212,838 : x
2. Step 2: Convert to fraction form
   152,238/212,838 = 212,838/x
3. Step 3: Cross multiply
   152,238x = 212,838 × 212,838
4. Step 4: Simplify right side
   152,238x = 45,300,014,244
5. Step 5: Solve for x
   x = 45,300,014,244/152,238
6. Step 6: Final answer
   x = 297,560.49