Finding the Third Proportional to 148,527 and 196,951.50

Step by Step Solution

1. Step 1: Write the proportion equation
   148,527 : 196,951.50 = 196,951.50 : x
2. Step 2: Convert to fraction form
   148,527/196,951.50 = 196,951.50/x
3. Step 3: Cross multiply
   148,527x = 196,951.50 × 196,951.50
4. Step 4: Simplify right side
   148,527x = 38,789,893,352.25
5. Step 5: Solve for x
   x = 38,789,893,352.25/148,527
6. Step 6: Final answer
   x = 261,163.92