Finding the Third Proportional to 46,645 and 100,658

Step by Step Solution

1. Step 1: Write the proportion equation
   46,645 : 100,658 = 100,658 : x
2. Step 2: Convert to fraction form
   46,645/100,658 = 100,658/x
3. Step 3: Cross multiply
   46,645x = 100,658 × 100,658
4. Step 4: Simplify right side
   46,645x = 10,132,032,964
5. Step 5: Solve for x
   x = 10,132,032,964/46,645
6. Step 6: Final answer
   x = 217,215.84