Finding the Third Proportional to 686,656 and 1,045,974.50

Step by Step Solution

1. Step 1: Write the proportion equation
   686,656 : 1,045,974.50 = 1,045,974.50 : x
2. Step 2: Convert to fraction form
   686,656/1,045,974.50 = 1,045,974.50/x
3. Step 3: Cross multiply
   686,656x = 1,045,974.50 × 1,045,974.50
4. Step 4: Simplify right side
   686,656x = 1,094,062,654,650.25
5. Step 5: Solve for x
   x = 1,094,062,654,650.25/686,656
6. Step 6: Final answer
   x = 1,593,319.88