Finding the Third Proportional to 78,426 and 185,109

Step by Step Solution

1. Step 1: Write the proportion equation
   78,426 : 185,109 = 185,109 : x
2. Step 2: Convert to fraction form
   78,426/185,109 = 185,109/x
3. Step 3: Cross multiply
   78,426x = 185,109 × 185,109
4. Step 4: Simplify right side
   78,426x = 34,265,341,881
5. Step 5: Solve for x
   x = 34,265,341,881/78,426
6. Step 6: Final answer
   x = 436,913.04