Finding the Third Proportional to 46,456 and 99,470

Step by Step Solution

1. Step 1: Write the proportion equation
   46,456 : 99,470 = 99,470 : x
2. Step 2: Convert to fraction form
   46,456/99,470 = 99,470/x
3. Step 3: Cross multiply
   46,456x = 99,470 × 99,470
4. Step 4: Simplify right side
   46,456x = 9,894,280,900
5. Step 5: Solve for x
   x = 9,894,280,900/46,456
6. Step 6: Final answer
   x = 212,981.77