Finding the Third Proportional to 75,186 and 105,111

Step by Step Solution

1. Step 1: Write the proportion equation
   75,186 : 105,111 = 105,111 : x
2. Step 2: Convert to fraction form
   75,186/105,111 = 105,111/x
3. Step 3: Cross multiply
   75,186x = 105,111 × 105,111
4. Step 4: Simplify right side
   75,186x = 11,048,322,321
5. Step 5: Solve for x
   x = 11,048,322,321/75,186
6. Step 6: Final answer
   x = 146,946.54