Finding the Third Proportional to 214,146 and 281,668.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,146 : 281,668.50 = 281,668.50 : x
2. Step 2: Convert to fraction form
   214,146/281,668.50 = 281,668.50/x
3. Step 3: Cross multiply
   214,146x = 281,668.50 × 281,668.50
4. Step 4: Simplify right side
   214,146x = 79,337,143,892.25
5. Step 5: Solve for x
   x = 79,337,143,892.25/214,146
6. Step 6: Final answer
   x = 370,481.56