Finding the Third Proportional to 349,338 and 541,075.50

Step by Step Solution

1. Step 1: Write the proportion equation
   349,338 : 541,075.50 = 541,075.50 : x
2. Step 2: Convert to fraction form
   349,338/541,075.50 = 541,075.50/x
3. Step 3: Cross multiply
   349,338x = 541,075.50 × 541,075.50
4. Step 4: Simplify right side
   349,338x = 292,762,696,700.25
5. Step 5: Solve for x
   x = 292,762,696,700.25/349,338
6. Step 6: Final answer
   x = 838,049.96