Finding the Third Proportional to 137,767 and 212,789

Step by Step Solution

1. Step 1: Write the proportion equation
   137,767 : 212,789 = 212,789 : x
2. Step 2: Convert to fraction form
   137,767/212,789 = 212,789/x
3. Step 3: Cross multiply
   137,767x = 212,789 × 212,789
4. Step 4: Simplify right side
   137,767x = 45,279,158,521
5. Step 5: Solve for x
   x = 45,279,158,521/137,767
6. Step 6: Final answer
   x = 328,664.76