Finding the Third Proportional to 137,370 and 289,500

Step by Step Solution

1. Step 1: Write the proportion equation
   137,370 : 289,500 = 289,500 : x
2. Step 2: Convert to fraction form
   137,370/289,500 = 289,500/x
3. Step 3: Cross multiply
   137,370x = 289,500 × 289,500
4. Step 4: Simplify right side
   137,370x = 83,810,250,000
5. Step 5: Solve for x
   x = 83,810,250,000/137,370
6. Step 6: Final answer
   x = 610,105.92