Finding the Third Proportional to 115,422 and 172,669.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,422 : 172,669.50 = 172,669.50 : x
2. Step 2: Convert to fraction form
   115,422/172,669.50 = 172,669.50/x
3. Step 3: Cross multiply
   115,422x = 172,669.50 × 172,669.50
4. Step 4: Simplify right side
   115,422x = 29,814,756,230.25
5. Step 5: Solve for x
   x = 29,814,756,230.25/115,422
6. Step 6: Final answer
   x = 258,310.86