Finding the Third Proportional to 415,084.50 and 607,824

Step by Step Solution

1. Step 1: Write the proportion equation
   415,084.50 : 607,824 = 607,824 : x
2. Step 2: Convert to fraction form
   415,084.50/607,824 = 607,824/x
3. Step 3: Cross multiply
   415,084.50x = 607,824 × 607,824
4. Step 4: Simplify right side
   415,084.50x = 369,450,014,976
5. Step 5: Solve for x
   x = 369,450,014,976/415,084.50
6. Step 6: Final answer
   x = 890,059.77