Finding the Third Proportional to 137,696 and 301,312

Step by Step Solution

1. Step 1: Write the proportion equation
   137,696 : 301,312 = 301,312 : x
2. Step 2: Convert to fraction form
   137,696/301,312 = 301,312/x
3. Step 3: Cross multiply
   137,696x = 301,312 × 301,312
4. Step 4: Simplify right side
   137,696x = 90,788,921,344
5. Step 5: Solve for x
   x = 90,788,921,344/137,696
6. Step 6: Final answer
   x = 659,343.20