Finding the Third Proportional to 78,225 and 160,095

Step by Step Solution

1. Step 1: Write the proportion equation
   78,225 : 160,095 = 160,095 : x
2. Step 2: Convert to fraction form
   78,225/160,095 = 160,095/x
3. Step 3: Cross multiply
   78,225x = 160,095 × 160,095
4. Step 4: Simplify right side
   78,225x = 25,630,409,025
5. Step 5: Solve for x
   x = 25,630,409,025/78,225
6. Step 6: Final answer
   x = 327,649.84