Finding the Third Proportional to 122,830 and 260,421.75

Step by Step Solution

1. Step 1: Write the proportion equation
   122,830 : 260,421.75 = 260,421.75 : x
2. Step 2: Convert to fraction form
   122,830/260,421.75 = 260,421.75/x
3. Step 3: Cross multiply
   122,830x = 260,421.75 × 260,421.75
4. Step 4: Simplify right side
   122,830x = 67,819,487,873.06
5. Step 5: Solve for x
   x = 67,819,487,873.06/122,830
6. Step 6: Final answer
   x = 552,141.07