Finding the Third Proportional to 384,209 and 843,152

Step by Step Solution

1. Step 1: Write the proportion equation
   384,209 : 843,152 = 843,152 : x
2. Step 2: Convert to fraction form
   384,209/843,152 = 843,152/x
3. Step 3: Cross multiply
   384,209x = 843,152 × 843,152
4. Step 4: Simplify right side
   384,209x = 710,905,295,104
5. Step 5: Solve for x
   x = 710,905,295,104/384,209
6. Step 6: Final answer
   x = 1,850,308.80