Finding the Third Proportional to 141,572 and 288,109

Step by Step Solution

1. Step 1: Write the proportion equation
   141,572 : 288,109 = 288,109 : x
2. Step 2: Convert to fraction form
   141,572/288,109 = 288,109/x
3. Step 3: Cross multiply
   141,572x = 288,109 × 288,109
4. Step 4: Simplify right side
   141,572x = 83,006,795,881
5. Step 5: Solve for x
   x = 83,006,795,881/141,572
6. Step 6: Final answer
   x = 586,322.13