Finding the Third Proportional to 382,736.81 and 563,032.69

Step by Step Solution

1. Step 1: Write the proportion equation
   382,736.81 : 563,032.69 = 563,032.69 : x
2. Step 2: Convert to fraction form
   382,736.81/563,032.69 = 563,032.69/x
3. Step 3: Cross multiply
   382,736.81x = 563,032.69 × 563,032.69
4. Step 4: Simplify right side
   382,736.81x = 317,005,807,193.47
5. Step 5: Solve for x
   x = 317,005,807,193.47/382,736.81
6. Step 6: Final answer
   x = 828,260.56