Finding the Third Proportional to 142,738 and 214,106

Step by Step Solution

1. Step 1: Write the proportion equation
   142,738 : 214,106 = 214,106 : x
2. Step 2: Convert to fraction form
   142,738/214,106 = 214,106/x
3. Step 3: Cross multiply
   142,738x = 214,106 × 214,106
4. Step 4: Simplify right side
   142,738x = 45,841,379,236
5. Step 5: Solve for x
   x = 45,841,379,236/142,738
6. Step 6: Final answer
   x = 321,157.50