Finding the Third Proportional to 142,178.50 and 311,141

Step by Step Solution

1. Step 1: Write the proportion equation
   142,178.50 : 311,141 = 311,141 : x
2. Step 2: Convert to fraction form
   142,178.50/311,141 = 311,141/x
3. Step 3: Cross multiply
   142,178.50x = 311,141 × 311,141
4. Step 4: Simplify right side
   142,178.50x = 96,808,721,881
5. Step 5: Solve for x
   x = 96,808,721,881/142,178.50
6. Step 6: Final answer
   x = 680,895.65