Finding the Third Proportional to 364,096.69 and 565,315.31

Step by Step Solution

1. Step 1: Write the proportion equation
   364,096.69 : 565,315.31 = 565,315.31 : x
2. Step 2: Convert to fraction form
   364,096.69/565,315.31 = 565,315.31/x
3. Step 3: Cross multiply
   364,096.69x = 565,315.31 × 565,315.31
4. Step 4: Simplify right side
   364,096.69x = 319,581,402,546.97
5. Step 5: Solve for x
   x = 319,581,402,546.97/364,096.69
6. Step 6: Final answer
   x = 877,737.74