Finding the Third Proportional to 100,010 and 146,064

Step by Step Solution

1. Step 1: Write the proportion equation
   100,010 : 146,064 = 146,064 : x
2. Step 2: Convert to fraction form
   100,010/146,064 = 146,064/x
3. Step 3: Cross multiply
   100,010x = 146,064 × 146,064
4. Step 4: Simplify right side
   100,010x = 21,334,692,096
5. Step 5: Solve for x
   x = 21,334,692,096/100,010
6. Step 6: Final answer
   x = 213,325.59