Finding the Third Proportional to 77,290 and 164,056

Step by Step Solution

1. Step 1: Write the proportion equation
   77,290 : 164,056 = 164,056 : x
2. Step 2: Convert to fraction form
   77,290/164,056 = 164,056/x
3. Step 3: Cross multiply
   77,290x = 164,056 × 164,056
4. Step 4: Simplify right side
   77,290x = 26,914,371,136
5. Step 5: Solve for x
   x = 26,914,371,136/77,290
6. Step 6: Final answer
   x = 348,225.79