Finding the Third Proportional to 829,269 and 1,742,094

Step by Step Solution

1. Step 1: Write the proportion equation
   829,269 : 1,742,094 = 1,742,094 : x
2. Step 2: Convert to fraction form
   829,269/1,742,094 = 1,742,094/x
3. Step 3: Cross multiply
   829,269x = 1,742,094 × 1,742,094
4. Step 4: Simplify right side
   829,269x = 3,034,891,504,836
5. Step 5: Solve for x
   x = 3,034,891,504,836/829,269
6. Step 6: Final answer
   x = 3,659,718.99