Finding the Third Proportional to 364,087.50 and 565,302

Step by Step Solution

1. Step 1: Write the proportion equation
   364,087.50 : 565,302 = 565,302 : x
2. Step 2: Convert to fraction form
   364,087.50/565,302 = 565,302/x
3. Step 3: Cross multiply
   364,087.50x = 565,302 × 565,302
4. Step 4: Simplify right side
   364,087.50x = 319,566,351,204
5. Step 5: Solve for x
   x = 319,566,351,204/364,087.50
6. Step 6: Final answer
   x = 877,718.55