Finding the Third Proportional to 133,061 and 288,269

Step by Step Solution

1. Step 1: Write the proportion equation
   133,061 : 288,269 = 288,269 : x
2. Step 2: Convert to fraction form
   133,061/288,269 = 288,269/x
3. Step 3: Cross multiply
   133,061x = 288,269 × 288,269
4. Step 4: Simplify right side
   133,061x = 83,099,016,361
5. Step 5: Solve for x
   x = 83,099,016,361/133,061
6. Step 6: Final answer
   x = 624,518.20