Finding the Third Proportional to 137,456 and 218,064

Step by Step Solution

1. Step 1: Write the proportion equation
   137,456 : 218,064 = 218,064 : x
2. Step 2: Convert to fraction form
   137,456/218,064 = 218,064/x
3. Step 3: Cross multiply
   137,456x = 218,064 × 218,064
4. Step 4: Simplify right side
   137,456x = 47,551,908,096
5. Step 5: Solve for x
   x = 47,551,908,096/137,456
6. Step 6: Final answer
   x = 345,942.76