Finding the Third Proportional to 137,906 and 307,012

Step by Step Solution

1. Step 1: Write the proportion equation
   137,906 : 307,012 = 307,012 : x
2. Step 2: Convert to fraction form
   137,906/307,012 = 307,012/x
3. Step 3: Cross multiply
   137,906x = 307,012 × 307,012
4. Step 4: Simplify right side
   137,906x = 94,256,368,144
5. Step 5: Solve for x
   x = 94,256,368,144/137,906
6. Step 6: Final answer
   x = 683,482.72