Finding the Third Proportional to 233,856 and 376,627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,856 : 376,627.50 = 376,627.50 : x
2. Step 2: Convert to fraction form
   233,856/376,627.50 = 376,627.50/x
3. Step 3: Cross multiply
   233,856x = 376,627.50 × 376,627.50
4. Step 4: Simplify right side
   233,856x = 141,848,273,756.25
5. Step 5: Solve for x
   x = 141,848,273,756.25/233,856
6. Step 6: Final answer
   x = 606,562.47