Finding the Third Proportional to 137,003 and 300,196

Step by Step Solution

1. Step 1: Write the proportion equation
   137,003 : 300,196 = 300,196 : x
2. Step 2: Convert to fraction form
   137,003/300,196 = 300,196/x
3. Step 3: Cross multiply
   137,003x = 300,196 × 300,196
4. Step 4: Simplify right side
   137,003x = 90,117,638,416
5. Step 5: Solve for x
   x = 90,117,638,416/137,003
6. Step 6: Final answer
   x = 657,778.58