Finding the Third Proportional to 131,564 and 288,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   131,564 : 288,166.50 = 288,166.50 : x
2. Step 2: Convert to fraction form
   131,564/288,166.50 = 288,166.50/x
3. Step 3: Cross multiply
   131,564x = 288,166.50 × 288,166.50
4. Step 4: Simplify right side
   131,564x = 83,039,931,722.25
5. Step 5: Solve for x
   x = 83,039,931,722.25/131,564
6. Step 6: Final answer
   x = 631,175.18