Finding the Third Proportional to 180,936 and 397,768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   180,936 : 397,768.50 = 397,768.50 : x
2. Step 2: Convert to fraction form
   180,936/397,768.50 = 397,768.50/x
3. Step 3: Cross multiply
   180,936x = 397,768.50 × 397,768.50
4. Step 4: Simplify right side
   180,936x = 158,219,779,592.25
5. Step 5: Solve for x
   x = 158,219,779,592.25/180,936
6. Step 6: Final answer
   x = 874,451.63