Finding the Third Proportional to 238,680 and 334,584

Step by Step Solution

1. Step 1: Write the proportion equation
   238,680 : 334,584 = 334,584 : x
2. Step 2: Convert to fraction form
   238,680/334,584 = 334,584/x
3. Step 3: Cross multiply
   238,680x = 334,584 × 334,584
4. Step 4: Simplify right side
   238,680x = 111,946,453,056
5. Step 5: Solve for x
   x = 111,946,453,056/238,680
6. Step 6: Final answer
   x = 469,023.18