Finding the Third Proportional to 55,817.50 and 78,075.25

Step by Step Solution

1. Step 1: Write the proportion equation
   55,817.50 : 78,075.25 = 78,075.25 : x
2. Step 2: Convert to fraction form
   55,817.50/78,075.25 = 78,075.25/x
3. Step 3: Cross multiply
   55,817.50x = 78,075.25 × 78,075.25
4. Step 4: Simplify right side
   55,817.50x = 6,095,744,662.56
5. Step 5: Solve for x
   x = 6,095,744,662.56/55,817.50
6. Step 6: Final answer
   x = 109,208.49