Finding the Third Proportional to 119,152 and 175,954

Step by Step Solution

1. Step 1: Write the proportion equation
   119,152 : 175,954 = 175,954 : x
2. Step 2: Convert to fraction form
   119,152/175,954 = 175,954/x
3. Step 3: Cross multiply
   119,152x = 175,954 × 175,954
4. Step 4: Simplify right side
   119,152x = 30,959,810,116
5. Step 5: Solve for x
   x = 30,959,810,116/119,152
6. Step 6: Final answer
   x = 259,834.58