Finding the Third Proportional to 144,496 and 348,082

Step by Step Solution

1. Step 1: Write the proportion equation
   144,496 : 348,082 = 348,082 : x
2. Step 2: Convert to fraction form
   144,496/348,082 = 348,082/x
3. Step 3: Cross multiply
   144,496x = 348,082 × 348,082
4. Step 4: Simplify right side
   144,496x = 121,161,078,724
5. Step 5: Solve for x
   x = 121,161,078,724/144,496
6. Step 6: Final answer
   x = 838,508.19