Finding the Third Proportional to 337,922 and 456,138

Step by Step Solution

1. Step 1: Write the proportion equation
   337,922 : 456,138 = 456,138 : x
2. Step 2: Convert to fraction form
   337,922/456,138 = 456,138/x
3. Step 3: Cross multiply
   337,922x = 456,138 × 456,138
4. Step 4: Simplify right side
   337,922x = 208,061,875,044
5. Step 5: Solve for x
   x = 208,061,875,044/337,922
6. Step 6: Final answer
   x = 615,709.76