Finding the Third Proportional to 142,749 and 314,172

Step by Step Solution

1. Step 1: Write the proportion equation
   142,749 : 314,172 = 314,172 : x
2. Step 2: Convert to fraction form
   142,749/314,172 = 314,172/x
3. Step 3: Cross multiply
   142,749x = 314,172 × 314,172
4. Step 4: Simplify right side
   142,749x = 98,704,045,584
5. Step 5: Solve for x
   x = 98,704,045,584/142,749
6. Step 6: Final answer
   x = 691,451.75