Finding the Third Proportional to 122,830.50 and 260,423.25

Step by Step Solution

1. Step 1: Write the proportion equation
   122,830.50 : 260,423.25 = 260,423.25 : x
2. Step 2: Convert to fraction form
   122,830.50/260,423.25 = 260,423.25/x
3. Step 3: Cross multiply
   122,830.50x = 260,423.25 × 260,423.25
4. Step 4: Simplify right side
   122,830.50x = 67,820,269,140.56
5. Step 5: Solve for x
   x = 67,820,269,140.56/122,830.50
6. Step 6: Final answer
   x = 552,145.18