Finding the Third Proportional to 142,560 and 312,566.34

Step by Step Solution

1. Step 1: Write the proportion equation
   142,560 : 312,566.34 = 312,566.34 : x
2. Step 2: Convert to fraction form
   142,560/312,566.34 = 312,566.34/x
3. Step 3: Cross multiply
   142,560x = 312,566.34 × 312,566.34
4. Step 4: Simplify right side
   142,560x = 97,697,719,245.24
5. Step 5: Solve for x
   x = 97,697,719,245.24/142,560
6. Step 6: Final answer
   x = 685,309.48