Finding the Third Proportional to 78,050 and 164,362

Step by Step Solution

1. Step 1: Write the proportion equation
   78,050 : 164,362 = 164,362 : x
2. Step 2: Convert to fraction form
   78,050/164,362 = 164,362/x
3. Step 3: Cross multiply
   78,050x = 164,362 × 164,362
4. Step 4: Simplify right side
   78,050x = 27,014,867,044
5. Step 5: Solve for x
   x = 27,014,867,044/78,050
6. Step 6: Final answer
   x = 346,122.58