Finding the Third Proportional to 137,680 and 301,280

Step by Step Solution

1. Step 1: Write the proportion equation
   137,680 : 301,280 = 301,280 : x
2. Step 2: Convert to fraction form
   137,680/301,280 = 301,280/x
3. Step 3: Cross multiply
   137,680x = 301,280 × 301,280
4. Step 4: Simplify right side
   137,680x = 90,769,638,400
5. Step 5: Solve for x
   x = 90,769,638,400/137,680
6. Step 6: Final answer
   x = 659,279.77