Finding the Third Proportional to 832,664 and 1,964,966

Step by Step Solution

1. Step 1: Write the proportion equation
   832,664 : 1,964,966 = 1,964,966 : x
2. Step 2: Convert to fraction form
   832,664/1,964,966 = 1,964,966/x
3. Step 3: Cross multiply
   832,664x = 1,964,966 × 1,964,966
4. Step 4: Simplify right side
   832,664x = 3,861,091,381,156
5. Step 5: Solve for x
   x = 3,861,091,381,156/832,664
6. Step 6: Final answer
   x = 4,637,034.12