Finding the Third Proportional to 684,106 and 1,467,839

Step by Step Solution

1. Step 1: Write the proportion equation
   684,106 : 1,467,839 = 1,467,839 : x
2. Step 2: Convert to fraction form
   684,106/1,467,839 = 1,467,839/x
3. Step 3: Cross multiply
   684,106x = 1,467,839 × 1,467,839
4. Step 4: Simplify right side
   684,106x = 2,154,551,329,921
5. Step 5: Solve for x
   x = 2,154,551,329,921/684,106
6. Step 6: Final answer
   x = 3,149,440.77