Finding the Third Proportional to 171,980 and 260,566.50

Step by Step Solution

1. Step 1: Write the proportion equation
   171,980 : 260,566.50 = 260,566.50 : x
2. Step 2: Convert to fraction form
   171,980/260,566.50 = 260,566.50/x
3. Step 3: Cross multiply
   171,980x = 260,566.50 × 260,566.50
4. Step 4: Simplify right side
   171,980x = 67,894,900,922.25
5. Step 5: Solve for x
   x = 67,894,900,922.25/171,980
6. Step 6: Final answer
   x = 394,783.70