Finding the Third Proportional to 95,658 and 140,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   95,658 : 140,563.50 = 140,563.50 : x
2. Step 2: Convert to fraction form
   95,658/140,563.50 = 140,563.50/x
3. Step 3: Cross multiply
   95,658x = 140,563.50 × 140,563.50
4. Step 4: Simplify right side
   95,658x = 19,758,097,532.25
5. Step 5: Solve for x
   x = 19,758,097,532.25/95,658
6. Step 6: Final answer
   x = 206,549.35