Finding the Third Proportional to 238,760 and 334,688

Step by Step Solution

1. Step 1: Write the proportion equation
   238,760 : 334,688 = 334,688 : x
2. Step 2: Convert to fraction form
   238,760/334,688 = 334,688/x
3. Step 3: Cross multiply
   238,760x = 334,688 × 334,688
4. Step 4: Simplify right side
   238,760x = 112,016,057,344
5. Step 5: Solve for x
   x = 112,016,057,344/238,760
6. Step 6: Final answer
   x = 469,157.55