Finding the Third Proportional to 96,796.50 and 142,020.75

Step by Step Solution

1. Step 1: Write the proportion equation
   96,796.50 : 142,020.75 = 142,020.75 : x
2. Step 2: Convert to fraction form
   96,796.50/142,020.75 = 142,020.75/x
3. Step 3: Cross multiply
   96,796.50x = 142,020.75 × 142,020.75
4. Step 4: Simplify right side
   96,796.50x = 20,169,893,430.56
5. Step 5: Solve for x
   x = 20,169,893,430.56/96,796.50
6. Step 6: Final answer
   x = 208,374.20