Finding the Third Proportional to 105,682.22 and 186,259.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,682.22 : 186,259.50 = 186,259.50 : x
2. Step 2: Convert to fraction form
   105,682.22/186,259.50 = 186,259.50/x
3. Step 3: Cross multiply
   105,682.22x = 186,259.50 × 186,259.50
4. Step 4: Simplify right side
   105,682.22x = 34,692,601,340.25
5. Step 5: Solve for x
   x = 34,692,601,340.25/105,682.22
6. Step 6: Final answer
   x = 328,272.83