Finding the Third Proportional to 142,194 and 311,172

Step by Step Solution

1. Step 1: Write the proportion equation
   142,194 : 311,172 = 311,172 : x
2. Step 2: Convert to fraction form
   142,194/311,172 = 311,172/x
3. Step 3: Cross multiply
   142,194x = 311,172 × 311,172
4. Step 4: Simplify right side
   142,194x = 96,828,013,584
5. Step 5: Solve for x
   x = 96,828,013,584/142,194
6. Step 6: Final answer
   x = 680,957.10