Finding the Third Proportional to 47,342 and 102,064

Step by Step Solution

1. Step 1: Write the proportion equation
   47,342 : 102,064 = 102,064 : x
2. Step 2: Convert to fraction form
   47,342/102,064 = 102,064/x
3. Step 3: Cross multiply
   47,342x = 102,064 × 102,064
4. Step 4: Simplify right side
   47,342x = 10,417,060,096
5. Step 5: Solve for x
   x = 10,417,060,096/47,342
6. Step 6: Final answer
   x = 220,038.45