Finding the Third Proportional to 46,458 and 70,779

Step by Step Solution

1. Step 1: Write the proportion equation
   46,458 : 70,779 = 70,779 : x
2. Step 2: Convert to fraction form
   46,458/70,779 = 70,779/x
3. Step 3: Cross multiply
   46,458x = 70,779 × 70,779
4. Step 4: Simplify right side
   46,458x = 5,009,666,841
5. Step 5: Solve for x
   x = 5,009,666,841/46,458
6. Step 6: Final answer
   x = 107,832.17