Finding the Third Proportional to 119,151 and 175,953.75

Step by Step Solution

1. Step 1: Write the proportion equation
   119,151 : 175,953.75 = 175,953.75 : x
2. Step 2: Convert to fraction form
   119,151/175,953.75 = 175,953.75/x
3. Step 3: Cross multiply
   119,151x = 175,953.75 × 175,953.75
4. Step 4: Simplify right side
   119,151x = 30,959,722,139.06
5. Step 5: Solve for x
   x = 30,959,722,139.06/119,151
6. Step 6: Final answer
   x = 259,836.02