Finding the Third Proportional to 185,736 and 282,127.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,736 : 282,127.50 = 282,127.50 : x
2. Step 2: Convert to fraction form
   185,736/282,127.50 = 282,127.50/x
3. Step 3: Cross multiply
   185,736x = 282,127.50 × 282,127.50
4. Step 4: Simplify right side
   185,736x = 79,595,926,256.25
5. Step 5: Solve for x
   x = 79,595,926,256.25/185,736
6. Step 6: Final answer
   x = 428,543.34