Finding the Third Proportional to 142,026 and 310,780

Step by Step Solution

1. Step 1: Write the proportion equation
   142,026 : 310,780 = 310,780 : x
2. Step 2: Convert to fraction form
   142,026/310,780 = 310,780/x
3. Step 3: Cross multiply
   142,026x = 310,780 × 310,780
4. Step 4: Simplify right side
   142,026x = 96,584,208,400
5. Step 5: Solve for x
   x = 96,584,208,400/142,026
6. Step 6: Final answer
   x = 680,045.97