Finding the Third Proportional to 468.56 and 1,030.31

Step by Step Solution

1. Step 1: Write the proportion equation
   468.56 : 1,030.31 = 1,030.31 : x
2. Step 2: Convert to fraction form
   468.56/1,030.31 = 1,030.31/x
3. Step 3: Cross multiply
   468.56x = 1,030.31 × 1,030.31
4. Step 4: Simplify right side
   468.56x = 1,061,543.85
5. Step 5: Solve for x
   x = 1,061,543.85/468.56
6. Step 6: Final answer
   x = 2,265.53