Finding the Third Proportional to 137,328 and 212,526

Step by Step Solution

1. Step 1: Write the proportion equation
   137,328 : 212,526 = 212,526 : x
2. Step 2: Convert to fraction form
   137,328/212,526 = 212,526/x
3. Step 3: Cross multiply
   137,328x = 212,526 × 212,526
4. Step 4: Simplify right side
   137,328x = 45,167,300,676
5. Step 5: Solve for x
   x = 45,167,300,676/137,328
6. Step 6: Final answer
   x = 328,900.88