Finding the Third Proportional to 582,114 and 1,272,441

Step by Step Solution

1. Step 1: Write the proportion equation
   582,114 : 1,272,441 = 1,272,441 : x
2. Step 2: Convert to fraction form
   582,114/1,272,441 = 1,272,441/x
3. Step 3: Cross multiply
   582,114x = 1,272,441 × 1,272,441
4. Step 4: Simplify right side
   582,114x = 1,619,106,098,481
5. Step 5: Solve for x
   x = 1,619,106,098,481/582,114
6. Step 6: Final answer
   x = 2,781,424.43