Finding the Third Proportional to 71,100 and 164,598

Step by Step Solution

1. Step 1: Write the proportion equation
   71,100 : 164,598 = 164,598 : x
2. Step 2: Convert to fraction form
   71,100/164,598 = 164,598/x
3. Step 3: Cross multiply
   71,100x = 164,598 × 164,598
4. Step 4: Simplify right side
   71,100x = 27,092,501,604
5. Step 5: Solve for x
   x = 27,092,501,604/71,100
6. Step 6: Final answer
   x = 381,047.84