Finding the Third Proportional to 115,821 and 174,009.75

Step by Step Solution

1. Step 1: Write the proportion equation
   115,821 : 174,009.75 = 174,009.75 : x
2. Step 2: Convert to fraction form
   115,821/174,009.75 = 174,009.75/x
3. Step 3: Cross multiply
   115,821x = 174,009.75 × 174,009.75
4. Step 4: Simplify right side
   115,821x = 30,279,393,095.06
5. Step 5: Solve for x
   x = 30,279,393,095.06/115,821
6. Step 6: Final answer
   x = 261,432.67