Finding the Third Proportional to 122,700 and 259,546.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,700 : 259,546.50 = 259,546.50 : x
2. Step 2: Convert to fraction form
   122,700/259,546.50 = 259,546.50/x
3. Step 3: Cross multiply
   122,700x = 259,546.50 × 259,546.50
4. Step 4: Simplify right side
   122,700x = 67,364,385,662.25
5. Step 5: Solve for x
   x = 67,364,385,662.25/122,700
6. Step 6: Final answer
   x = 549,017.00