Finding the Third Proportional to 112,530 and 172,553.25

Step by Step Solution

1. Step 1: Write the proportion equation
   112,530 : 172,553.25 = 172,553.25 : x
2. Step 2: Convert to fraction form
   112,530/172,553.25 = 172,553.25/x
3. Step 3: Cross multiply
   112,530x = 172,553.25 × 172,553.25
4. Step 4: Simplify right side
   112,530x = 29,774,624,085.56
5. Step 5: Solve for x
   x = 29,774,624,085.56/112,530
6. Step 6: Final answer
   x = 264,592.77