Finding the Third Proportional to 148,529 and 231,906

Step by Step Solution

1. Step 1: Write the proportion equation
   148,529 : 231,906 = 231,906 : x
2. Step 2: Convert to fraction form
   148,529/231,906 = 231,906/x
3. Step 3: Cross multiply
   148,529x = 231,906 × 231,906
4. Step 4: Simplify right side
   148,529x = 53,780,392,836
5. Step 5: Solve for x
   x = 53,780,392,836/148,529
6. Step 6: Final answer
   x = 362,086.82