Finding the Third Proportional to 52,519.25 and 78,595.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,519.25 : 78,595.50 = 78,595.50 : x
2. Step 2: Convert to fraction form
   52,519.25/78,595.50 = 78,595.50/x
3. Step 3: Cross multiply
   52,519.25x = 78,595.50 × 78,595.50
4. Step 4: Simplify right side
   52,519.25x = 6,177,252,620.25
5. Step 5: Solve for x
   x = 6,177,252,620.25/52,519.25
6. Step 6: Final answer
   x = 117,618.83