Finding the Third Proportional to 584,308 and 902,262

Step by Step Solution

1. Step 1: Write the proportion equation
   584,308 : 902,262 = 902,262 : x
2. Step 2: Convert to fraction form
   584,308/902,262 = 902,262/x
3. Step 3: Cross multiply
   584,308x = 902,262 × 902,262
4. Step 4: Simplify right side
   584,308x = 814,076,716,644
5. Step 5: Solve for x
   x = 814,076,716,644/584,308
6. Step 6: Final answer
   x = 1,393,232.19