Finding the Third Proportional to 131,429 and 185,969

Step by Step Solution

1. Step 1: Write the proportion equation
   131,429 : 185,969 = 185,969 : x
2. Step 2: Convert to fraction form
   131,429/185,969 = 185,969/x
3. Step 3: Cross multiply
   131,429x = 185,969 × 185,969
4. Step 4: Simplify right side
   131,429x = 34,584,468,961
5. Step 5: Solve for x
   x = 34,584,468,961/131,429
6. Step 6: Final answer
   x = 263,141.84