Finding the Third Proportional to 684,864 and 1,064,592

Step by Step Solution

1. Step 1: Write the proportion equation
   684,864 : 1,064,592 = 1,064,592 : x
2. Step 2: Convert to fraction form
   684,864/1,064,592 = 1,064,592/x
3. Step 3: Cross multiply
   684,864x = 1,064,592 × 1,064,592
4. Step 4: Simplify right side
   684,864x = 1,133,356,126,464
5. Step 5: Solve for x
   x = 1,133,356,126,464/684,864
6. Step 6: Final answer
   x = 1,654,863.05