Finding the Third Proportional to 786,066 and 1,684,272

Step by Step Solution

1. Step 1: Write the proportion equation
   786,066 : 1,684,272 = 1,684,272 : x
2. Step 2: Convert to fraction form
   786,066/1,684,272 = 1,684,272/x
3. Step 3: Cross multiply
   786,066x = 1,684,272 × 1,684,272
4. Step 4: Simplify right side
   786,066x = 2,836,772,169,984
5. Step 5: Solve for x
   x = 2,836,772,169,984/786,066
6. Step 6: Final answer
   x = 3,608,821.87