Finding the Third Proportional to 355,800 and 521,124

Step by Step Solution

1. Step 1: Write the proportion equation
   355,800 : 521,124 = 521,124 : x
2. Step 2: Convert to fraction form
   355,800/521,124 = 521,124/x
3. Step 3: Cross multiply
   355,800x = 521,124 × 521,124
4. Step 4: Simplify right side
   355,800x = 271,570,223,376
5. Step 5: Solve for x
   x = 271,570,223,376/355,800
6. Step 6: Final answer
   x = 763,266.51