Finding the Third Proportional to 137,688 and 301,296

Step by Step Solution

1. Step 1: Write the proportion equation
   137,688 : 301,296 = 301,296 : x
2. Step 2: Convert to fraction form
   137,688/301,296 = 301,296/x
3. Step 3: Cross multiply
   137,688x = 301,296 × 301,296
4. Step 4: Simplify right side
   137,688x = 90,779,279,616
5. Step 5: Solve for x
   x = 90,779,279,616/137,688
6. Step 6: Final answer
   x = 659,311.48