Finding the Third Proportional to 148,500 and 196,912.69

Step by Step Solution

1. Step 1: Write the proportion equation
   148,500 : 196,912.69 = 196,912.69 : x
2. Step 2: Convert to fraction form
   148,500/196,912.69 = 196,912.69/x
3. Step 3: Cross multiply
   148,500x = 196,912.69 × 196,912.69
4. Step 4: Simplify right side
   148,500x = 38,774,606,498.47
5. Step 5: Solve for x
   x = 38,774,606,498.47/148,500
6. Step 6: Final answer
   x = 261,108.46