Finding the Third Proportional to 77,488.50 and 164,274

Step by Step Solution

1. Step 1: Write the proportion equation
   77,488.50 : 164,274 = 164,274 : x
2. Step 2: Convert to fraction form
   77,488.50/164,274 = 164,274/x
3. Step 3: Cross multiply
   77,488.50x = 164,274 × 164,274
4. Step 4: Simplify right side
   77,488.50x = 26,985,947,076
5. Step 5: Solve for x
   x = 26,985,947,076/77,488.50
6. Step 6: Final answer
   x = 348,257.45