Finding the Third Proportional to 685,188 and 1,027,764

Step by Step Solution

1. Step 1: Write the proportion equation
   685,188 : 1,027,764 = 1,027,764 : x
2. Step 2: Convert to fraction form
   685,188/1,027,764 = 1,027,764/x
3. Step 3: Cross multiply
   685,188x = 1,027,764 × 1,027,764
4. Step 4: Simplify right side
   685,188x = 1,056,298,839,696
5. Step 5: Solve for x
   x = 1,056,298,839,696/685,188
6. Step 6: Final answer
   x = 1,541,619.00