Finding the Third Proportional to 476,096 and 631,848

Step by Step Solution

1. Step 1: Write the proportion equation
   476,096 : 631,848 = 631,848 : x
2. Step 2: Convert to fraction form
   476,096/631,848 = 631,848/x
3. Step 3: Cross multiply
   476,096x = 631,848 × 631,848
4. Step 4: Simplify right side
   476,096x = 399,231,895,104
5. Step 5: Solve for x
   x = 399,231,895,104/476,096
6. Step 6: Final answer
   x = 838,553.35