Finding the Third Proportional to 52,819 and 76,844.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,819 : 76,844.50 = 76,844.50 : x
2. Step 2: Convert to fraction form
   52,819/76,844.50 = 76,844.50/x
3. Step 3: Cross multiply
   52,819x = 76,844.50 × 76,844.50
4. Step 4: Simplify right side
   52,819x = 5,905,077,180.25
5. Step 5: Solve for x
   x = 5,905,077,180.25/52,819
6. Step 6: Final answer
   x = 111,798.35