Finding the Third Proportional to 186,723 and 268,420.50

Step by Step Solution

1. Step 1: Write the proportion equation
   186,723 : 268,420.50 = 268,420.50 : x
2. Step 2: Convert to fraction form
   186,723/268,420.50 = 268,420.50/x
3. Step 3: Cross multiply
   186,723x = 268,420.50 × 268,420.50
4. Step 4: Simplify right side
   186,723x = 72,049,564,820.25
5. Step 5: Solve for x
   x = 72,049,564,820.25/186,723
6. Step 6: Final answer
   x = 385,863.36