Finding the Third Proportional to 52,293 and 78,559.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,293 : 78,559.50 = 78,559.50 : x
2. Step 2: Convert to fraction form
   52,293/78,559.50 = 78,559.50/x
3. Step 3: Cross multiply
   52,293x = 78,559.50 × 78,559.50
4. Step 4: Simplify right side
   52,293x = 6,171,595,040.25
5. Step 5: Solve for x
   x = 6,171,595,040.25/52,293
6. Step 6: Final answer
   x = 118,019.53