Finding the Third Proportional to 58,761 and 105,858

Step by Step Solution

1. Step 1: Write the proportion equation
   58,761 : 105,858 = 105,858 : x
2. Step 2: Convert to fraction form
   58,761/105,858 = 105,858/x
3. Step 3: Cross multiply
   58,761x = 105,858 × 105,858
4. Step 4: Simplify right side
   58,761x = 11,205,916,164
5. Step 5: Solve for x
   x = 11,205,916,164/58,761
6. Step 6: Final answer
   x = 190,703.29