Finding the Third Proportional to 646,974 and 1,012,864.50

Step by Step Solution

1. Step 1: Write the proportion equation
   646,974 : 1,012,864.50 = 1,012,864.50 : x
2. Step 2: Convert to fraction form
   646,974/1,012,864.50 = 1,012,864.50/x
3. Step 3: Cross multiply
   646,974x = 1,012,864.50 × 1,012,864.50
4. Step 4: Simplify right side
   646,974x = 1,025,894,495,360.25
5. Step 5: Solve for x
   x = 1,025,894,495,360.25/646,974
6. Step 6: Final answer
   x = 1,585,681.18