Finding the Third Proportional to 137,114 and 300,460

Step by Step Solution

1. Step 1: Write the proportion equation
   137,114 : 300,460 = 300,460 : x
2. Step 2: Convert to fraction form
   137,114/300,460 = 300,460/x
3. Step 3: Cross multiply
   137,114x = 300,460 × 300,460
4. Step 4: Simplify right side
   137,114x = 90,276,211,600
5. Step 5: Solve for x
   x = 90,276,211,600/137,114
6. Step 6: Final answer
   x = 658,402.58