Finding the Third Proportional to 137,564 and 301,696

Step by Step Solution

1. Step 1: Write the proportion equation
   137,564 : 301,696 = 301,696 : x
2. Step 2: Convert to fraction form
   137,564/301,696 = 301,696/x
3. Step 3: Cross multiply
   137,564x = 301,696 × 301,696
4. Step 4: Simplify right side
   137,564x = 91,020,476,416
5. Step 5: Solve for x
   x = 91,020,476,416/137,564
6. Step 6: Final answer
   x = 661,659.13