Finding the Third Proportional to 101,242 and 204,625.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,242 : 204,625.50 = 204,625.50 : x
2. Step 2: Convert to fraction form
   101,242/204,625.50 = 204,625.50/x
3. Step 3: Cross multiply
   101,242x = 204,625.50 × 204,625.50
4. Step 4: Simplify right side
   101,242x = 41,871,595,250.25
5. Step 5: Solve for x
   x = 41,871,595,250.25/101,242
6. Step 6: Final answer
   x = 413,579.30