Finding the Third Proportional to 387,684 and 566,488

Step by Step Solution

1. Step 1: Write the proportion equation
   387,684 : 566,488 = 566,488 : x
2. Step 2: Convert to fraction form
   387,684/566,488 = 566,488/x
3. Step 3: Cross multiply
   387,684x = 566,488 × 566,488
4. Step 4: Simplify right side
   387,684x = 320,908,654,144
5. Step 5: Solve for x
   x = 320,908,654,144/387,684
6. Step 6: Final answer
   x = 827,758.31