Finding the Third Proportional to 782,082 and 1,209,066

Step by Step Solution

1. Step 1: Write the proportion equation
   782,082 : 1,209,066 = 1,209,066 : x
2. Step 2: Convert to fraction form
   782,082/1,209,066 = 1,209,066/x
3. Step 3: Cross multiply
   782,082x = 1,209,066 × 1,209,066
4. Step 4: Simplify right side
   782,082x = 1,461,840,592,356
5. Step 5: Solve for x
   x = 1,461,840,592,356/782,082
6. Step 6: Final answer
   x = 1,869,165.37