Finding the Third Proportional to 232,845 and 509,278.50

Step by Step Solution

1. Step 1: Write the proportion equation
   232,845 : 509,278.50 = 509,278.50 : x
2. Step 2: Convert to fraction form
   232,845/509,278.50 = 509,278.50/x
3. Step 3: Cross multiply
   232,845x = 509,278.50 × 509,278.50
4. Step 4: Simplify right side
   232,845x = 259,364,590,562.25
5. Step 5: Solve for x
   x = 259,364,590,562.25/232,845
6. Step 6: Final answer
   x = 1,113,893.75