Finding the Third Proportional to 359,166 and 535,632

Step by Step Solution

1. Step 1: Write the proportion equation
   359,166 : 535,632 = 535,632 : x
2. Step 2: Convert to fraction form
   359,166/535,632 = 535,632/x
3. Step 3: Cross multiply
   359,166x = 535,632 × 535,632
4. Step 4: Simplify right side
   359,166x = 286,901,639,424
5. Step 5: Solve for x
   x = 286,901,639,424/359,166
6. Step 6: Final answer
   x = 798,799.55