Finding the Third Proportional to 49,779 and 77,188.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,779 : 77,188.50 = 77,188.50 : x
2. Step 2: Convert to fraction form
   49,779/77,188.50 = 77,188.50/x
3. Step 3: Cross multiply
   49,779x = 77,188.50 × 77,188.50
4. Step 4: Simplify right side
   49,779x = 5,958,064,532.25
5. Step 5: Solve for x
   x = 5,958,064,532.25/49,779
6. Step 6: Final answer
   x = 119,690.32