Finding the Third Proportional to 182,898 and 261,042.75

Step by Step Solution

1. Step 1: Write the proportion equation
   182,898 : 261,042.75 = 261,042.75 : x
2. Step 2: Convert to fraction form
   182,898/261,042.75 = 261,042.75/x
3. Step 3: Cross multiply
   182,898x = 261,042.75 × 261,042.75
4. Step 4: Simplify right side
   182,898x = 68,143,317,327.56
5. Step 5: Solve for x
   x = 68,143,317,327.56/182,898
6. Step 6: Final answer
   x = 372,575.52