Finding the Third Proportional to 380,696 and 535,630

Step by Step Solution

1. Step 1: Write the proportion equation
   380,696 : 535,630 = 535,630 : x
2. Step 2: Convert to fraction form
   380,696/535,630 = 535,630/x
3. Step 3: Cross multiply
   380,696x = 535,630 × 535,630
4. Step 4: Simplify right side
   380,696x = 286,899,496,900
5. Step 5: Solve for x
   x = 286,899,496,900/380,696
6. Step 6: Final answer
   x = 753,618.36