Finding the Third Proportional to 49,769 and 77,069.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,769 : 77,069.50 = 77,069.50 : x
2. Step 2: Convert to fraction form
   49,769/77,069.50 = 77,069.50/x
3. Step 3: Cross multiply
   49,769x = 77,069.50 × 77,069.50
4. Step 4: Simplify right side
   49,769x = 5,939,707,830.25
5. Step 5: Solve for x
   x = 5,939,707,830.25/49,769
6. Step 6: Final answer
   x = 119,345.53