Finding the Third Proportional to 49,788 and 77,089.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,788 : 77,089.50 = 77,089.50 : x
2. Step 2: Convert to fraction form
   49,788/77,089.50 = 77,089.50/x
3. Step 3: Cross multiply
   49,788x = 77,089.50 × 77,089.50
4. Step 4: Simplify right side
   49,788x = 5,942,791,010.25
5. Step 5: Solve for x
   x = 5,942,791,010.25/49,788
6. Step 6: Final answer
   x = 119,361.91