Finding the Third Proportional to 55,779 and 78,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,779 : 78,196.50 = 78,196.50 : x
2. Step 2: Convert to fraction form
   55,779/78,196.50 = 78,196.50/x
3. Step 3: Cross multiply
   55,779x = 78,196.50 × 78,196.50
4. Step 4: Simplify right side
   55,779x = 6,114,692,612.25
5. Step 5: Solve for x
   x = 6,114,692,612.25/55,779
6. Step 6: Final answer
   x = 109,623.56