Finding the Third Proportional to 1,182,906 and 1,685,784

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182,906 : 1,685,784 = 1,685,784 : x
2. Step 2: Convert to fraction form
   1,182,906/1,685,784 = 1,685,784/x
3. Step 3: Cross multiply
   1,182,906x = 1,685,784 × 1,685,784
4. Step 4: Simplify right side
   1,182,906x = 2,841,867,694,656
5. Step 5: Solve for x
   x = 2,841,867,694,656/1,182,906
6. Step 6: Final answer
   x = 2,402,445.92