Finding the Third Proportional to 1,194,769 and 1,892,784

Step by Step Solution

1. Step 1: Write the proportion equation
   1,194,769 : 1,892,784 = 1,892,784 : x
2. Step 2: Convert to fraction form
   1,194,769/1,892,784 = 1,892,784/x
3. Step 3: Cross multiply
   1,194,769x = 1,892,784 × 1,892,784
4. Step 4: Simplify right side
   1,194,769x = 3,582,631,270,656
5. Step 5: Solve for x
   x = 3,582,631,270,656/1,194,769
6. Step 6: Final answer
   x = 2,998,597.44