Finding the Third Proportional to 89,145 and 184,596

Step by Step Solution

1. Step 1: Write the proportion equation
   89,145 : 184,596 = 184,596 : x
2. Step 2: Convert to fraction form
   89,145/184,596 = 184,596/x
3. Step 3: Cross multiply
   89,145x = 184,596 × 184,596
4. Step 4: Simplify right side
   89,145x = 34,075,683,216
5. Step 5: Solve for x
   x = 34,075,683,216/89,145
6. Step 6: Final answer
   x = 382,250.08