Finding the Third Proportional to 785,666 and 1,201,328

Step by Step Solution

1. Step 1: Write the proportion equation
   785,666 : 1,201,328 = 1,201,328 : x
2. Step 2: Convert to fraction form
   785,666/1,201,328 = 1,201,328/x
3. Step 3: Cross multiply
   785,666x = 1,201,328 × 1,201,328
4. Step 4: Simplify right side
   785,666x = 1,443,188,963,584
5. Step 5: Solve for x
   x = 1,443,188,963,584/785,666
6. Step 6: Final answer
   x = 1,836,898.84