Finding the Third Proportional to 1,069,213 and 1,413,307

Step by Step Solution

1. Step 1: Write the proportion equation
   1,069,213 : 1,413,307 = 1,413,307 : x
2. Step 2: Convert to fraction form
   1,069,213/1,413,307 = 1,413,307/x
3. Step 3: Cross multiply
   1,069,213x = 1,413,307 × 1,413,307
4. Step 4: Simplify right side
   1,069,213x = 1,997,436,676,249
5. Step 5: Solve for x
   x = 1,997,436,676,249/1,069,213
6. Step 6: Final answer
   x = 1,868,137.29