Finding the Third Proportional to 182,473 and 281,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,473 : 281,413.50 = 281,413.50 : x
2. Step 2: Convert to fraction form
   182,473/281,413.50 = 281,413.50/x
3. Step 3: Cross multiply
   182,473x = 281,413.50 × 281,413.50
4. Step 4: Simplify right side
   182,473x = 79,193,557,982.25
5. Step 5: Solve for x
   x = 79,193,557,982.25/182,473
6. Step 6: Final answer
   x = 434,001.51