Finding the Third Proportional to 146,775 and 243,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,775 : 243,733.50 = 243,733.50 : x
2. Step 2: Convert to fraction form
   146,775/243,733.50 = 243,733.50/x
3. Step 3: Cross multiply
   146,775x = 243,733.50 × 243,733.50
4. Step 4: Simplify right side
   146,775x = 59,406,019,022.25
5. Step 5: Solve for x
   x = 59,406,019,022.25/146,775
6. Step 6: Final answer
   x = 404,742.08