Finding the Third Proportional to 829,764 and 1,281,507

Step by Step Solution

1. Step 1: Write the proportion equation
   829,764 : 1,281,507 = 1,281,507 : x
2. Step 2: Convert to fraction form
   829,764/1,281,507 = 1,281,507/x
3. Step 3: Cross multiply
   829,764x = 1,281,507 × 1,281,507
4. Step 4: Simplify right side
   829,764x = 1,642,260,191,049
5. Step 5: Solve for x
   x = 1,642,260,191,049/829,764
6. Step 6: Final answer
   x = 1,979,189.49