Finding the Third Proportional to 115,523 and 154,524.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,523 : 154,524.50 = 154,524.50 : x
2. Step 2: Convert to fraction form
   115,523/154,524.50 = 154,524.50/x
3. Step 3: Cross multiply
   115,523x = 154,524.50 × 154,524.50
4. Step 4: Simplify right side
   115,523x = 23,877,821,100.25
5. Step 5: Solve for x
   x = 23,877,821,100.25/115,523
6. Step 6: Final answer
   x = 206,693.22