Finding the Third Proportional to 137,416.50 and 201,204

Step by Step Solution

1. Step 1: Write the proportion equation
   137,416.50 : 201,204 = 201,204 : x
2. Step 2: Convert to fraction form
   137,416.50/201,204 = 201,204/x
3. Step 3: Cross multiply
   137,416.50x = 201,204 × 201,204
4. Step 4: Simplify right side
   137,416.50x = 40,483,049,616
5. Step 5: Solve for x
   x = 40,483,049,616/137,416.50
6. Step 6: Final answer
   x = 294,601.08