Finding the Third Proportional to 143,548 and 314,456

Step by Step Solution

1. Step 1: Write the proportion equation
   143,548 : 314,456 = 314,456 : x
2. Step 2: Convert to fraction form
   143,548/314,456 = 314,456/x
3. Step 3: Cross multiply
   143,548x = 314,456 × 314,456
4. Step 4: Simplify right side
   143,548x = 98,882,575,936
5. Step 5: Solve for x
   x = 98,882,575,936/143,548
6. Step 6: Final answer
   x = 688,846.77