Finding the Third Proportional to 1,083,523 and 1,680,063

Step by Step Solution

1. Step 1: Write the proportion equation
   1,083,523 : 1,680,063 = 1,680,063 : x
2. Step 2: Convert to fraction form
   1,083,523/1,680,063 = 1,680,063/x
3. Step 3: Cross multiply
   1,083,523x = 1,680,063 × 1,680,063
4. Step 4: Simplify right side
   1,083,523x = 2,822,611,683,969
5. Step 5: Solve for x
   x = 2,822,611,683,969/1,083,523
6. Step 6: Final answer
   x = 2,605,031.63