Finding the Third Proportional to 182,733 and 281,233.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,733 : 281,233.50 = 281,233.50 : x
2. Step 2: Convert to fraction form
   182,733/281,233.50 = 281,233.50/x
3. Step 3: Cross multiply
   182,733x = 281,233.50 × 281,233.50
4. Step 4: Simplify right side
   182,733x = 79,092,281,522.25
5. Step 5: Solve for x
   x = 79,092,281,522.25/182,733
6. Step 6: Final answer
   x = 432,829.77