Finding the Third Proportional to 142,094 and 212,166

Step by Step Solution

1. Step 1: Write the proportion equation
   142,094 : 212,166 = 212,166 : x
2. Step 2: Convert to fraction form
   142,094/212,166 = 212,166/x
3. Step 3: Cross multiply
   142,094x = 212,166 × 212,166
4. Step 4: Simplify right side
   142,094x = 45,014,411,556
5. Step 5: Solve for x
   x = 45,014,411,556/142,094
6. Step 6: Final answer
   x = 316,793.19