Finding the Third Proportional to 143,549 and 314,314

Step by Step Solution

1. Step 1: Write the proportion equation
   143,549 : 314,314 = 314,314 : x
2. Step 2: Convert to fraction form
   143,549/314,314 = 314,314/x
3. Step 3: Cross multiply
   143,549x = 314,314 × 314,314
4. Step 4: Simplify right side
   143,549x = 98,793,290,596
5. Step 5: Solve for x
   x = 98,793,290,596/143,549
6. Step 6: Final answer
   x = 688,219.98