Finding the Third Proportional to 122,202 and 256,084.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,202 : 256,084.50 = 256,084.50 : x
2. Step 2: Convert to fraction form
   122,202/256,084.50 = 256,084.50/x
3. Step 3: Cross multiply
   122,202x = 256,084.50 × 256,084.50
4. Step 4: Simplify right side
   122,202x = 65,579,271,140.25
5. Step 5: Solve for x
   x = 65,579,271,140.25/122,202
6. Step 6: Final answer
   x = 536,646.46