Finding the Third Proportional to 100,558.50 and 160,064

Step by Step Solution

1. Step 1: Write the proportion equation
   100,558.50 : 160,064 = 160,064 : x
2. Step 2: Convert to fraction form
   100,558.50/160,064 = 160,064/x
3. Step 3: Cross multiply
   100,558.50x = 160,064 × 160,064
4. Step 4: Simplify right side
   100,558.50x = 25,620,484,096
5. Step 5: Solve for x
   x = 25,620,484,096/100,558.50
6. Step 6: Final answer
   x = 254,781.88