Finding the Third Proportional to 71,259 and 164,989.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,259 : 164,989.50 = 164,989.50 : x
2. Step 2: Convert to fraction form
   71,259/164,989.50 = 164,989.50/x
3. Step 3: Cross multiply
   71,259x = 164,989.50 × 164,989.50
4. Step 4: Simplify right side
   71,259x = 27,221,535,110.25
5. Step 5: Solve for x
   x = 27,221,535,110.25/71,259
6. Step 6: Final answer
   x = 382,008.38