Finding the Third Proportional to 182,361 and 288,529.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,361 : 288,529.50 = 288,529.50 : x
2. Step 2: Convert to fraction form
   182,361/288,529.50 = 288,529.50/x
3. Step 3: Cross multiply
   182,361x = 288,529.50 × 288,529.50
4. Step 4: Simplify right side
   182,361x = 83,249,272,370.25
5. Step 5: Solve for x
   x = 83,249,272,370.25/182,361
6. Step 6: Final answer
   x = 456,508.09