Finding the Third Proportional to 359,142 and 535,599

Step by Step Solution

1. Step 1: Write the proportion equation
   359,142 : 535,599 = 535,599 : x
2. Step 2: Convert to fraction form
   359,142/535,599 = 535,599/x
3. Step 3: Cross multiply
   359,142x = 535,599 × 535,599
4. Step 4: Simplify right side
   359,142x = 286,866,288,801
5. Step 5: Solve for x
   x = 286,866,288,801/359,142
6. Step 6: Final answer
   x = 798,754.50