Finding the Third Proportional to 648.56 and 770.06

Step by Step Solution

1. Step 1: Write the proportion equation
   648.56 : 770.06 = 770.06 : x
2. Step 2: Convert to fraction form
   648.56/770.06 = 770.06/x
3. Step 3: Cross multiply
   648.56x = 770.06 × 770.06
4. Step 4: Simplify right side
   648.56x = 592,996.25
5. Step 5: Solve for x
   x = 592,996.25/648.56
6. Step 6: Final answer
   x = 914.32