Finding the Third Proportional to 784.69 and 875.81

Step by Step Solution

1. Step 1: Write the proportion equation
   784.69 : 875.81 = 875.81 : x
2. Step 2: Convert to fraction form
   784.69/875.81 = 875.81/x
3. Step 3: Cross multiply
   784.69x = 875.81 × 875.81
4. Step 4: Simplify right side
   784.69x = 767,047.54
5. Step 5: Solve for x
   x = 767,047.54/784.69
6. Step 6: Final answer
   x = 977.52