Finding the Third Proportional to 86,753 and 190,111

Step by Step Solution

1. Step 1: Write the proportion equation
   86,753 : 190,111 = 190,111 : x
2. Step 2: Convert to fraction form
   86,753/190,111 = 190,111/x
3. Step 3: Cross multiply
   86,753x = 190,111 × 190,111
4. Step 4: Simplify right side
   86,753x = 36,142,192,321
5. Step 5: Solve for x
   x = 36,142,192,321/86,753
6. Step 6: Final answer
   x = 416,610.29