Finding the Third Proportional to 49,772.50 and 77,075.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,772.50 : 77,075.50 = 77,075.50 : x
2. Step 2: Convert to fraction form
   49,772.50/77,075.50 = 77,075.50/x
3. Step 3: Cross multiply
   49,772.50x = 77,075.50 × 77,075.50
4. Step 4: Simplify right side
   49,772.50x = 5,940,632,700.25
5. Step 5: Solve for x
   x = 5,940,632,700.25/49,772.50
6. Step 6: Final answer
   x = 119,355.72