Finding the Third Proportional to 144,038 and 314,068

Step by Step Solution

1. Step 1: Write the proportion equation
   144,038 : 314,068 = 314,068 : x
2. Step 2: Convert to fraction form
   144,038/314,068 = 314,068/x
3. Step 3: Cross multiply
   144,038x = 314,068 × 314,068
4. Step 4: Simplify right side
   144,038x = 98,638,708,624
5. Step 5: Solve for x
   x = 98,638,708,624/144,038
6. Step 6: Final answer
   x = 684,810.32