Finding the Third Proportional to 182,376 and 280,152

Step by Step Solution

1. Step 1: Write the proportion equation
   182,376 : 280,152 = 280,152 : x
2. Step 2: Convert to fraction form
   182,376/280,152 = 280,152/x
3. Step 3: Cross multiply
   182,376x = 280,152 × 280,152
4. Step 4: Simplify right side
   182,376x = 78,485,143,104
5. Step 5: Solve for x
   x = 78,485,143,104/182,376
6. Step 6: Final answer
   x = 430,347.98