Finding the Third Proportional to 506,529 and 802,075.50

Step by Step Solution

1. Step 1: Write the proportion equation
   506,529 : 802,075.50 = 802,075.50 : x
2. Step 2: Convert to fraction form
   506,529/802,075.50 = 802,075.50/x
3. Step 3: Cross multiply
   506,529x = 802,075.50 × 802,075.50
4. Step 4: Simplify right side
   506,529x = 643,325,107,700.25
5. Step 5: Solve for x
   x = 643,325,107,700.25/506,529
6. Step 6: Final answer
   x = 1,270,065.70