Finding the Third Proportional to 78,835.50 and 122,398.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,835.50 : 122,398.50 = 122,398.50 : x
2. Step 2: Convert to fraction form
   78,835.50/122,398.50 = 122,398.50/x
3. Step 3: Cross multiply
   78,835.50x = 122,398.50 × 122,398.50
4. Step 4: Simplify right side
   78,835.50x = 14,981,392,802.25
5. Step 5: Solve for x
   x = 14,981,392,802.25/78,835.50
6. Step 6: Final answer
   x = 190,033.59