Finding the Third Proportional to 838,384 and 1,185,158

Step by Step Solution

1. Step 1: Write the proportion equation
   838,384 : 1,185,158 = 1,185,158 : x
2. Step 2: Convert to fraction form
   838,384/1,185,158 = 1,185,158/x
3. Step 3: Cross multiply
   838,384x = 1,185,158 × 1,185,158
4. Step 4: Simplify right side
   838,384x = 1,404,599,484,964
5. Step 5: Solve for x
   x = 1,404,599,484,964/838,384
6. Step 6: Final answer
   x = 1,675,365.33