Finding the Third Proportional to 53,307 and 108,114

Step by Step Solution

1. Step 1: Write the proportion equation
   53,307 : 108,114 = 108,114 : x
2. Step 2: Convert to fraction form
   53,307/108,114 = 108,114/x
3. Step 3: Cross multiply
   53,307x = 108,114 × 108,114
4. Step 4: Simplify right side
   53,307x = 11,688,636,996
5. Step 5: Solve for x
   x = 11,688,636,996/53,307
6. Step 6: Final answer
   x = 219,270.21