Finding the Third Proportional to 53,918 and 77,172

Step by Step Solution

1. Step 1: Write the proportion equation
   53,918 : 77,172 = 77,172 : x
2. Step 2: Convert to fraction form
   53,918/77,172 = 77,172/x
3. Step 3: Cross multiply
   53,918x = 77,172 × 77,172
4. Step 4: Simplify right side
   53,918x = 5,955,517,584
5. Step 5: Solve for x
   x = 5,955,517,584/53,918
6. Step 6: Final answer
   x = 110,455.09