Finding the Third Proportional to 214,080 and 281,569.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,080 : 281,569.50 = 281,569.50 : x
2. Step 2: Convert to fraction form
   214,080/281,569.50 = 281,569.50/x
3. Step 3: Cross multiply
   214,080x = 281,569.50 × 281,569.50
4. Step 4: Simplify right side
   214,080x = 79,281,383,330.25
5. Step 5: Solve for x
   x = 79,281,383,330.25/214,080
6. Step 6: Final answer
   x = 370,335.31