Finding the Third Proportional to 109,633.50 and 236,185.88

Step by Step Solution

1. Step 1: Write the proportion equation
   109,633.50 : 236,185.88 = 236,185.88 : x
2. Step 2: Convert to fraction form
   109,633.50/236,185.88 = 236,185.88/x
3. Step 3: Cross multiply
   109,633.50x = 236,185.88 × 236,185.88
4. Step 4: Simplify right side
   109,633.50x = 55,783,767,549.52
5. Step 5: Solve for x
   x = 55,783,767,549.52/109,633.50
6. Step 6: Final answer
   x = 508,820.46