Finding the Third Proportional to 89,300 and 184,762

Step by Step Solution

1. Step 1: Write the proportion equation
   89,300 : 184,762 = 184,762 : x
2. Step 2: Convert to fraction form
   89,300/184,762 = 184,762/x
3. Step 3: Cross multiply
   89,300x = 184,762 × 184,762
4. Step 4: Simplify right side
   89,300x = 34,136,996,644
5. Step 5: Solve for x
   x = 34,136,996,644/89,300
6. Step 6: Final answer
   x = 382,273.20