Finding the Third Proportional to 139,826 and 209,754

Step by Step Solution

1. Step 1: Write the proportion equation
   139,826 : 209,754 = 209,754 : x
2. Step 2: Convert to fraction form
   139,826/209,754 = 209,754/x
3. Step 3: Cross multiply
   139,826x = 209,754 × 209,754
4. Step 4: Simplify right side
   139,826x = 43,996,740,516
5. Step 5: Solve for x
   x = 43,996,740,516/139,826
6. Step 6: Final answer
   x = 314,653.50