Finding the Third Proportional to 78,902 and 122,230.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,902 : 122,230.50 = 122,230.50 : x
2. Step 2: Convert to fraction form
   78,902/122,230.50 = 122,230.50/x
3. Step 3: Cross multiply
   78,902x = 122,230.50 × 122,230.50
4. Step 4: Simplify right side
   78,902x = 14,940,295,130.25
5. Step 5: Solve for x
   x = 14,940,295,130.25/78,902
6. Step 6: Final answer
   x = 189,352.55