Finding the Third Proportional to 689,838 and 1,030,509

Step by Step Solution

1. Step 1: Write the proportion equation
   689,838 : 1,030,509 = 1,030,509 : x
2. Step 2: Convert to fraction form
   689,838/1,030,509 = 1,030,509/x
3. Step 3: Cross multiply
   689,838x = 1,030,509 × 1,030,509
4. Step 4: Simplify right side
   689,838x = 1,061,948,799,081
5. Step 5: Solve for x
   x = 1,061,948,799,081/689,838
6. Step 6: Final answer
   x = 1,539,417.66