Finding the Third Proportional to 83,705 and 124,109

Step by Step Solution

1. Step 1: Write the proportion equation
   83,705 : 124,109 = 124,109 : x
2. Step 2: Convert to fraction form
   83,705/124,109 = 124,109/x
3. Step 3: Cross multiply
   83,705x = 124,109 × 124,109
4. Step 4: Simplify right side
   83,705x = 15,403,043,881
5. Step 5: Solve for x
   x = 15,403,043,881/83,705
6. Step 6: Final answer
   x = 184,015.82