Finding the Third Proportional to 342,781 and 521,468

Step by Step Solution

1. Step 1: Write the proportion equation
   342,781 : 521,468 = 521,468 : x
2. Step 2: Convert to fraction form
   342,781/521,468 = 521,468/x
3. Step 3: Cross multiply
   342,781x = 521,468 × 521,468
4. Step 4: Simplify right side
   342,781x = 271,928,875,024
5. Step 5: Solve for x
   x = 271,928,875,024/342,781
6. Step 6: Final answer
   x = 793,302.06