Finding the Third Proportional to 1,010,138 and 1,683,363

Step by Step Solution

1. Step 1: Write the proportion equation
   1,010,138 : 1,683,363 = 1,683,363 : x
2. Step 2: Convert to fraction form
   1,010,138/1,683,363 = 1,683,363/x
3. Step 3: Cross multiply
   1,010,138x = 1,683,363 × 1,683,363
4. Step 4: Simplify right side
   1,010,138x = 2,833,710,989,769
5. Step 5: Solve for x
   x = 2,833,710,989,769/1,010,138
6. Step 6: Final answer
   x = 2,805,271.15