Finding the Third Proportional to 1,194,704 and 1,828,414

Step by Step Solution

1. Step 1: Write the proportion equation
   1,194,704 : 1,828,414 = 1,828,414 : x
2. Step 2: Convert to fraction form
   1,194,704/1,828,414 = 1,828,414/x
3. Step 3: Cross multiply
   1,194,704x = 1,828,414 × 1,828,414
4. Step 4: Simplify right side
   1,194,704x = 3,343,097,755,396
5. Step 5: Solve for x
   x = 3,343,097,755,396/1,194,704
6. Step 6: Final answer
   x = 2,798,264.47