Finding the Third Proportional to 139,848 and 209,772

Step by Step Solution

1. Step 1: Write the proportion equation
   139,848 : 209,772 = 209,772 : x
2. Step 2: Convert to fraction form
   139,848/209,772 = 209,772/x
3. Step 3: Cross multiply
   139,848x = 209,772 × 209,772
4. Step 4: Simplify right side
   139,848x = 44,004,291,984
5. Step 5: Solve for x
   x = 44,004,291,984/139,848
6. Step 6: Final answer
   x = 314,658