Finding the Third Proportional to 101,064 and 140,160

Step by Step Solution

1. Step 1: Write the proportion equation
   101,064 : 140,160 = 140,160 : x
2. Step 2: Convert to fraction form
   101,064/140,160 = 140,160/x
3. Step 3: Cross multiply
   101,064x = 140,160 × 140,160
4. Step 4: Simplify right side
   101,064x = 19,644,825,600
5. Step 5: Solve for x
   x = 19,644,825,600/101,064
6. Step 6: Final answer
   x = 194,380.05