Finding the Third Proportional to 232,479 and 509,197.50

Step by Step Solution

1. Step 1: Write the proportion equation
   232,479 : 509,197.50 = 509,197.50 : x
2. Step 2: Convert to fraction form
   232,479/509,197.50 = 509,197.50/x
3. Step 3: Cross multiply
   232,479x = 509,197.50 × 509,197.50
4. Step 4: Simplify right side
   232,479x = 259,282,094,006.25
5. Step 5: Solve for x
   x = 259,282,094,006.25/232,479
6. Step 6: Final answer
   x = 1,115,292.54