Finding the Third Proportional to 133,026 and 195,648.75

Step by Step Solution

1. Step 1: Write the proportion equation
   133,026 : 195,648.75 = 195,648.75 : x
2. Step 2: Convert to fraction form
   133,026/195,648.75 = 195,648.75/x
3. Step 3: Cross multiply
   133,026x = 195,648.75 × 195,648.75
4. Step 4: Simplify right side
   133,026x = 38,278,433,376.56
5. Step 5: Solve for x
   x = 38,278,433,376.56/133,026
6. Step 6: Final answer
   x = 287,751.52