Finding the Third Proportional to 464,588 and 654,264

Step by Step Solution

1. Step 1: Write the proportion equation
   464,588 : 654,264 = 654,264 : x
2. Step 2: Convert to fraction form
   464,588/654,264 = 654,264/x
3. Step 3: Cross multiply
   464,588x = 654,264 × 654,264
4. Step 4: Simplify right side
   464,588x = 428,061,381,696
5. Step 5: Solve for x
   x = 428,061,381,696/464,588
6. Step 6: Final answer
   x = 921,378.47