Finding the Third Proportional to 144,748 and 314,276

Step by Step Solution

1. Step 1: Write the proportion equation
   144,748 : 314,276 = 314,276 : x
2. Step 2: Convert to fraction form
   144,748/314,276 = 314,276/x
3. Step 3: Cross multiply
   144,748x = 314,276 × 314,276
4. Step 4: Simplify right side
   144,748x = 98,769,404,176
5. Step 5: Solve for x
   x = 98,769,404,176/144,748
6. Step 6: Final answer
   x = 682,354.19