Finding the Third Proportional to 829,060 and 1,784,966

Step by Step Solution

1. Step 1: Write the proportion equation
   829,060 : 1,784,966 = 1,784,966 : x
2. Step 2: Convert to fraction form
   829,060/1,784,966 = 1,784,966/x
3. Step 3: Cross multiply
   829,060x = 1,784,966 × 1,784,966
4. Step 4: Simplify right side
   829,060x = 3,186,103,621,156
5. Step 5: Solve for x
   x = 3,186,103,621,156/829,060
6. Step 6: Final answer
   x = 3,843,031.41