Finding the Third Proportional to 78,833.25 and 122,395.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,833.25 : 122,395.50 = 122,395.50 : x
2. Step 2: Convert to fraction form
   78,833.25/122,395.50 = 122,395.50/x
3. Step 3: Cross multiply
   78,833.25x = 122,395.50 × 122,395.50
4. Step 4: Simplify right side
   78,833.25x = 14,980,658,420.25
5. Step 5: Solve for x
   x = 14,980,658,420.25/78,833.25
6. Step 6: Final answer
   x = 190,029.69