Finding the Third Proportional to 52,866 and 77,189.63

Step by Step Solution

1. Step 1: Write the proportion equation
   52,866 : 77,189.63 = 77,189.63 : x
2. Step 2: Convert to fraction form
   52,866/77,189.63 = 77,189.63/x
3. Step 3: Cross multiply
   52,866x = 77,189.63 × 77,189.63
4. Step 4: Simplify right side
   52,866x = 5,958,238,207.64
5. Step 5: Solve for x
   x = 5,958,238,207.64/52,866
6. Step 6: Final answer
   x = 112,704.54