Finding the Third Proportional to 1,191,582 and 1,764,225

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191,582 : 1,764,225 = 1,764,225 : x
2. Step 2: Convert to fraction form
   1,191,582/1,764,225 = 1,764,225/x
3. Step 3: Cross multiply
   1,191,582x = 1,764,225 × 1,764,225
4. Step 4: Simplify right side
   1,191,582x = 3,112,489,850,625
5. Step 5: Solve for x
   x = 3,112,489,850,625/1,191,582
6. Step 6: Final answer
   x = 2,612,065.18