Finding the Third Proportional to 776.50 and 872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   776.50 : 872.50 = 872.50 : x
2. Step 2: Convert to fraction form
   776.50/872.50 = 872.50/x
3. Step 3: Cross multiply
   776.50x = 872.50 × 872.50
4. Step 4: Simplify right side
   776.50x = 761,256.25
5. Step 5: Solve for x
   x = 761,256.25/776.50
6. Step 6: Final answer
   x = 980.37