Finding the Third Proportional to 143,680 and 314,112

Step by Step Solution

1. Step 1: Write the proportion equation
   143,680 : 314,112 = 314,112 : x
2. Step 2: Convert to fraction form
   143,680/314,112 = 314,112/x
3. Step 3: Cross multiply
   143,680x = 314,112 × 314,112
4. Step 4: Simplify right side
   143,680x = 98,666,348,544
5. Step 5: Solve for x
   x = 98,666,348,544/143,680
6. Step 6: Final answer
   x = 686,709.00