Finding the Third Proportional to 137,651 and 212,736

Step by Step Solution

1. Step 1: Write the proportion equation
   137,651 : 212,736 = 212,736 : x
2. Step 2: Convert to fraction form
   137,651/212,736 = 212,736/x
3. Step 3: Cross multiply
   137,651x = 212,736 × 212,736
4. Step 4: Simplify right side
   137,651x = 45,256,605,696
5. Step 5: Solve for x
   x = 45,256,605,696/137,651
6. Step 6: Final answer
   x = 328,777.89