Finding the Third Proportional to 856.50 and 1,010.06

Step by Step Solution

1. Step 1: Write the proportion equation
   856.50 : 1,010.06 = 1,010.06 : x
2. Step 2: Convert to fraction form
   856.50/1,010.06 = 1,010.06/x
3. Step 3: Cross multiply
   856.50x = 1,010.06 × 1,010.06
4. Step 4: Simplify right side
   856.50x = 1,020,226.25
5. Step 5: Solve for x
   x = 1,020,226.25/856.50
6. Step 6: Final answer
   x = 1,191.16