Finding the Third Proportional to 144,916 and 309,091

Step by Step Solution

1. Step 1: Write the proportion equation
   144,916 : 309,091 = 309,091 : x
2. Step 2: Convert to fraction form
   144,916/309,091 = 309,091/x
3. Step 3: Cross multiply
   144,916x = 309,091 × 309,091
4. Step 4: Simplify right side
   144,916x = 95,537,246,281
5. Step 5: Solve for x
   x = 95,537,246,281/144,916
6. Step 6: Final answer
   x = 659,259.48