Finding the Third Proportional to 349,359 and 526,936.50

Step by Step Solution

1. Step 1: Write the proportion equation
   349,359 : 526,936.50 = 526,936.50 : x
2. Step 2: Convert to fraction form
   349,359/526,936.50 = 526,936.50/x
3. Step 3: Cross multiply
   349,359x = 526,936.50 × 526,936.50
4. Step 4: Simplify right side
   349,359x = 277,662,075,032.25
5. Step 5: Solve for x
   x = 277,662,075,032.25/349,359
6. Step 6: Final answer
   x = 794,775.79