Finding the Third Proportional to 95,706 and 140,593.50

Step by Step Solution

1. Step 1: Write the proportion equation
   95,706 : 140,593.50 = 140,593.50 : x
2. Step 2: Convert to fraction form
   95,706/140,593.50 = 140,593.50/x
3. Step 3: Cross multiply
   95,706x = 140,593.50 × 140,593.50
4. Step 4: Simplify right side
   95,706x = 19,766,532,242.25
5. Step 5: Solve for x
   x = 19,766,532,242.25/95,706
6. Step 6: Final answer
   x = 206,533.89