Finding the Third Proportional to 142,532 and 309,352

Step by Step Solution

1. Step 1: Write the proportion equation
   142,532 : 309,352 = 309,352 : x
2. Step 2: Convert to fraction form
   142,532/309,352 = 309,352/x
3. Step 3: Cross multiply
   142,532x = 309,352 × 309,352
4. Step 4: Simplify right side
   142,532x = 95,698,659,904
5. Step 5: Solve for x
   x = 95,698,659,904/142,532
6. Step 6: Final answer
   x = 671,418.77