Finding the Third Proportional to 137,591 and 281,014

Step by Step Solution

1. Step 1: Write the proportion equation
   137,591 : 281,014 = 281,014 : x
2. Step 2: Convert to fraction form
   137,591/281,014 = 281,014/x
3. Step 3: Cross multiply
   137,591x = 281,014 × 281,014
4. Step 4: Simplify right side
   137,591x = 78,968,868,196
5. Step 5: Solve for x
   x = 78,968,868,196/137,591
6. Step 6: Final answer
   x = 573,939.20