Finding the Third Proportional to 42,390 and 92,064

Step by Step Solution

1. Step 1: Write the proportion equation
   42,390 : 92,064 = 92,064 : x
2. Step 2: Convert to fraction form
   42,390/92,064 = 92,064/x
3. Step 3: Cross multiply
   42,390x = 92,064 × 92,064
4. Step 4: Simplify right side
   42,390x = 8,475,780,096
5. Step 5: Solve for x
   x = 8,475,780,096/42,390
6. Step 6: Final answer
   x = 199,947.63