Finding the Third Proportional to 142,184 and 311,152

Step by Step Solution

1. Step 1: Write the proportion equation
   142,184 : 311,152 = 311,152 : x
2. Step 2: Convert to fraction form
   142,184/311,152 = 311,152/x
3. Step 3: Cross multiply
   142,184x = 311,152 × 311,152
4. Step 4: Simplify right side
   142,184x = 96,815,567,104
5. Step 5: Solve for x
   x = 96,815,567,104/142,184
6. Step 6: Final answer
   x = 680,917.45