Finding the Third Proportional to 152,896 and 224,840

Step by Step Solution

1. Step 1: Write the proportion equation
   152,896 : 224,840 = 224,840 : x
2. Step 2: Convert to fraction form
   152,896/224,840 = 224,840/x
3. Step 3: Cross multiply
   152,896x = 224,840 × 224,840
4. Step 4: Simplify right side
   152,896x = 50,553,025,600
5. Step 5: Solve for x
   x = 50,553,025,600/152,896
6. Step 6: Final answer
   x = 330,636.68