Finding the Third Proportional to 188,185 and 268,264.50

Step by Step Solution

1. Step 1: Write the proportion equation
   188,185 : 268,264.50 = 268,264.50 : x
2. Step 2: Convert to fraction form
   188,185/268,264.50 = 268,264.50/x
3. Step 3: Cross multiply
   188,185x = 268,264.50 × 268,264.50
4. Step 4: Simplify right side
   188,185x = 71,965,841,960.25
5. Step 5: Solve for x
   x = 71,965,841,960.25/188,185
6. Step 6: Final answer
   x = 382,420.71