Finding the Third Proportional to 142,738 and 311,789

Step by Step Solution

1. Step 1: Write the proportion equation
   142,738 : 311,789 = 311,789 : x
2. Step 2: Convert to fraction form
   142,738/311,789 = 311,789/x
3. Step 3: Cross multiply
   142,738x = 311,789 × 311,789
4. Step 4: Simplify right side
   142,738x = 97,212,380,521
5. Step 5: Solve for x
   x = 97,212,380,521/142,738
6. Step 6: Final answer
   x = 681,054.66