Finding the Third Proportional to 120,323 and 176,380.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,323 : 176,380.50 = 176,380.50 : x
2. Step 2: Convert to fraction form
   120,323/176,380.50 = 176,380.50/x
3. Step 3: Cross multiply
   120,323x = 176,380.50 × 176,380.50
4. Step 4: Simplify right side
   120,323x = 31,110,080,780.25
5. Step 5: Solve for x
   x = 31,110,080,780.25/120,323
6. Step 6: Final answer
   x = 258,554.73