Finding the Third Proportional to 77,338 and 164,152

Step by Step Solution

1. Step 1: Write the proportion equation
   77,338 : 164,152 = 164,152 : x
2. Step 2: Convert to fraction form
   77,338/164,152 = 164,152/x
3. Step 3: Cross multiply
   77,338x = 164,152 × 164,152
4. Step 4: Simplify right side
   77,338x = 26,945,879,104
5. Step 5: Solve for x
   x = 26,945,879,104/77,338
6. Step 6: Final answer
   x = 348,417.07