Finding the Third Proportional to 359,199 and 523,003

Step by Step Solution

1. Step 1: Write the proportion equation
   359,199 : 523,003 = 523,003 : x
2. Step 2: Convert to fraction form
   359,199/523,003 = 523,003/x
3. Step 3: Cross multiply
   359,199x = 523,003 × 523,003
4. Step 4: Simplify right side
   359,199x = 273,532,138,009
5. Step 5: Solve for x
   x = 273,532,138,009/359,199
6. Step 6: Final answer
   x = 761,505.84