Finding the Third Proportional to 143,528 and 314,416

Step by Step Solution

1. Step 1: Write the proportion equation
   143,528 : 314,416 = 314,416 : x
2. Step 2: Convert to fraction form
   143,528/314,416 = 314,416/x
3. Step 3: Cross multiply
   143,528x = 314,416 × 314,416
4. Step 4: Simplify right side
   143,528x = 98,857,421,056
5. Step 5: Solve for x
   x = 98,857,421,056/143,528
6. Step 6: Final answer
   x = 688,767.50