Finding the Third Proportional to 184,536 and 383,796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   184,536 : 383,796.50 = 383,796.50 : x
2. Step 2: Convert to fraction form
   184,536/383,796.50 = 383,796.50/x
3. Step 3: Cross multiply
   184,536x = 383,796.50 × 383,796.50
4. Step 4: Simplify right side
   184,536x = 147,299,753,412.25
5. Step 5: Solve for x
   x = 147,299,753,412.25/184,536
6. Step 6: Final answer
   x = 798,216.90