Finding the Third Proportional to 52,785 and 77,449.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,785 : 77,449.50 = 77,449.50 : x
2. Step 2: Convert to fraction form
   52,785/77,449.50 = 77,449.50/x
3. Step 3: Cross multiply
   52,785x = 77,449.50 × 77,449.50
4. Step 4: Simplify right side
   52,785x = 5,998,425,050.25
5. Step 5: Solve for x
   x = 5,998,425,050.25/52,785
6. Step 6: Final answer
   x = 113,638.82