Finding the Third Proportional to 59,283 and 105,407

Step by Step Solution

1. Step 1: Write the proportion equation
   59,283 : 105,407 = 105,407 : x
2. Step 2: Convert to fraction form
   59,283/105,407 = 105,407/x
3. Step 3: Cross multiply
   59,283x = 105,407 × 105,407
4. Step 4: Simplify right side
   59,283x = 11,110,635,649
5. Step 5: Solve for x
   x = 11,110,635,649/59,283
6. Step 6: Final answer
   x = 187,416.89