Finding the Third Proportional to 119,758.50 and 177,329.25

Step by Step Solution

1. Step 1: Write the proportion equation
   119,758.50 : 177,329.25 = 177,329.25 : x
2. Step 2: Convert to fraction form
   119,758.50/177,329.25 = 177,329.25/x
3. Step 3: Cross multiply
   119,758.50x = 177,329.25 × 177,329.25
4. Step 4: Simplify right side
   119,758.50x = 31,445,662,905.56
5. Step 5: Solve for x
   x = 31,445,662,905.56/119,758.50
6. Step 6: Final answer
   x = 262,575.62