Finding the Third Proportional to 78,079.50 and 123,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,079.50 : 123,514.50 = 123,514.50 : x
2. Step 2: Convert to fraction form
   78,079.50/123,514.50 = 123,514.50/x
3. Step 3: Cross multiply
   78,079.50x = 123,514.50 × 123,514.50
4. Step 4: Simplify right side
   78,079.50x = 15,255,831,710.25
5. Step 5: Solve for x
   x = 15,255,831,710.25/78,079.50
6. Step 6: Final answer
   x = 195,388.44