Finding the Third Proportional to 1,020.52 and 1,125.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.52 : 1,125.98 = 1,125.98 : x
2. Step 2: Convert to fraction form
   1,020.52/1,125.98 = 1,125.98/x
3. Step 3: Cross multiply
   1,020.52x = 1,125.98 × 1,125.98
4. Step 4: Simplify right side
   1,020.52x = 1,267,840.81
5. Step 5: Solve for x
   x = 1,267,840.81/1,020.52
6. Step 6: Final answer
   x = 1,242.35