Finding the Third Proportional to 148,516 and 196,936

Step by Step Solution

1. Step 1: Write the proportion equation
   148,516 : 196,936 = 196,936 : x
2. Step 2: Convert to fraction form
   148,516/196,936 = 196,936/x
3. Step 3: Cross multiply
   148,516x = 196,936 × 196,936
4. Step 4: Simplify right side
   148,516x = 38,783,788,096
5. Step 5: Solve for x
   x = 38,783,788,096/148,516
6. Step 6: Final answer
   x = 261,142.15