Finding the Third Proportional to 72,194 and 111,109

Step by Step Solution

1. Step 1: Write the proportion equation
   72,194 : 111,109 = 111,109 : x
2. Step 2: Convert to fraction form
   72,194/111,109 = 111,109/x
3. Step 3: Cross multiply
   72,194x = 111,109 × 111,109
4. Step 4: Simplify right side
   72,194x = 12,345,209,881
5. Step 5: Solve for x
   x = 12,345,209,881/72,194
6. Step 6: Final answer
   x = 171,000.50