Finding the Third Proportional to 122,083.50 and 253,523.25

Step by Step Solution

1. Step 1: Write the proportion equation
   122,083.50 : 253,523.25 = 253,523.25 : x
2. Step 2: Convert to fraction form
   122,083.50/253,523.25 = 253,523.25/x
3. Step 3: Cross multiply
   122,083.50x = 253,523.25 × 253,523.25
4. Step 4: Simplify right side
   122,083.50x = 64,274,038,290.56
5. Step 5: Solve for x
   x = 64,274,038,290.56/122,083.50
6. Step 6: Final answer
   x = 526,476.05