Finding the Third Proportional to 78,624 and 184,968

Step by Step Solution

1. Step 1: Write the proportion equation
   78,624 : 184,968 = 184,968 : x
2. Step 2: Convert to fraction form
   78,624/184,968 = 184,968/x
3. Step 3: Cross multiply
   78,624x = 184,968 × 184,968
4. Step 4: Simplify right side
   78,624x = 34,213,161,024
5. Step 5: Solve for x
   x = 34,213,161,024/78,624
6. Step 6: Final answer
   x = 435,149.08