Finding the Third Proportional to 52,977 and 82,594.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,977 : 82,594.50 = 82,594.50 : x
2. Step 2: Convert to fraction form
   52,977/82,594.50 = 82,594.50/x
3. Step 3: Cross multiply
   52,977x = 82,594.50 × 82,594.50
4. Step 4: Simplify right side
   52,977x = 6,821,851,430.25
5. Step 5: Solve for x
   x = 6,821,851,430.25/52,977
6. Step 6: Final answer
   x = 128,770.06