Finding the Third Proportional to 142,802 and 214,095

Step by Step Solution

1. Step 1: Write the proportion equation
   142,802 : 214,095 = 214,095 : x
2. Step 2: Convert to fraction form
   142,802/214,095 = 214,095/x
3. Step 3: Cross multiply
   142,802x = 214,095 × 214,095
4. Step 4: Simplify right side
   142,802x = 45,836,669,025
5. Step 5: Solve for x
   x = 45,836,669,025/142,802
6. Step 6: Final answer
   x = 320,980.58