Finding the Third Proportional to 238,896 and 334,848

Step by Step Solution

1. Step 1: Write the proportion equation
   238,896 : 334,848 = 334,848 : x
2. Step 2: Convert to fraction form
   238,896/334,848 = 334,848/x
3. Step 3: Cross multiply
   238,896x = 334,848 × 334,848
4. Step 4: Simplify right side
   238,896x = 112,123,183,104
5. Step 5: Solve for x
   x = 112,123,183,104/238,896
6. Step 6: Final answer
   x = 469,338.89