Finding the Third Proportional to 364,087 and 565,300

Step by Step Solution

1. Step 1: Write the proportion equation
   364,087 : 565,300 = 565,300 : x
2. Step 2: Convert to fraction form
   364,087/565,300 = 565,300/x
3. Step 3: Cross multiply
   364,087x = 565,300 × 565,300
4. Step 4: Simplify right side
   364,087x = 319,564,090,000
5. Step 5: Solve for x
   x = 319,564,090,000/364,087
6. Step 6: Final answer
   x = 877,713.54