Finding the Third Proportional to 71,064 and 164,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,064 : 164,533.50 = 164,533.50 : x
2. Step 2: Convert to fraction form
   71,064/164,533.50 = 164,533.50/x
3. Step 3: Cross multiply
   71,064x = 164,533.50 × 164,533.50
4. Step 4: Simplify right side
   71,064x = 27,071,272,622.25
5. Step 5: Solve for x
   x = 27,071,272,622.25/71,064
6. Step 6: Final answer
   x = 380,942.15