Finding the Third Proportional to 144,054 and 314,316

Step by Step Solution

1. Step 1: Write the proportion equation
   144,054 : 314,316 = 314,316 : x
2. Step 2: Convert to fraction form
   144,054/314,316 = 314,316/x
3. Step 3: Cross multiply
   144,054x = 314,316 × 314,316
4. Step 4: Simplify right side
   144,054x = 98,794,547,856
5. Step 5: Solve for x
   x = 98,794,547,856/144,054
6. Step 6: Final answer
   x = 685,816.07