Finding the Third Proportional to 233,775 and 376,483.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,775 : 376,483.50 = 376,483.50 : x
2. Step 2: Convert to fraction form
   233,775/376,483.50 = 376,483.50/x
3. Step 3: Cross multiply
   233,775x = 376,483.50 × 376,483.50
4. Step 4: Simplify right side
   233,775x = 141,739,825,772.25
5. Step 5: Solve for x
   x = 141,739,825,772.25/233,775
6. Step 6: Final answer
   x = 606,308.74