Finding the Third Proportional to 78,194 and 171,940

Step by Step Solution

1. Step 1: Write the proportion equation
   78,194 : 171,940 = 171,940 : x
2. Step 2: Convert to fraction form
   78,194/171,940 = 171,940/x
3. Step 3: Cross multiply
   78,194x = 171,940 × 171,940
4. Step 4: Simplify right side
   78,194x = 29,563,363,600
5. Step 5: Solve for x
   x = 29,563,363,600/78,194
6. Step 6: Final answer
   x = 378,077.14