Finding the Third Proportional to 127,582 and 274,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,582 : 274,664.50 = 274,664.50 : x
2. Step 2: Convert to fraction form
   127,582/274,664.50 = 274,664.50/x
3. Step 3: Cross multiply
   127,582x = 274,664.50 × 274,664.50
4. Step 4: Simplify right side
   127,582x = 75,440,587,560.25
5. Step 5: Solve for x
   x = 75,440,587,560.25/127,582
6. Step 6: Final answer
   x = 591,310.59