Finding the Third Proportional to 100,588.50 and 140,965.31

Step by Step Solution

1. Step 1: Write the proportion equation
   100,588.50 : 140,965.31 = 140,965.31 : x
2. Step 2: Convert to fraction form
   100,588.50/140,965.31 = 140,965.31/x
3. Step 3: Cross multiply
   100,588.50x = 140,965.31 × 140,965.31
4. Step 4: Simplify right side
   100,588.50x = 19,871,219,328.22
5. Step 5: Solve for x
   x = 19,871,219,328.22/100,588.50
6. Step 6: Final answer
   x = 197,549.61