Finding the Third Proportional to 341,658 and 509,692.50

Step by Step Solution

1. Step 1: Write the proportion equation
   341,658 : 509,692.50 = 509,692.50 : x
2. Step 2: Convert to fraction form
   341,658/509,692.50 = 509,692.50/x
3. Step 3: Cross multiply
   341,658x = 509,692.50 × 509,692.50
4. Step 4: Simplify right side
   341,658x = 259,786,444,556.25
5. Step 5: Solve for x
   x = 259,786,444,556.25/341,658
6. Step 6: Final answer
   x = 760,369.86