Finding the Third Proportional to 29,859 and 65,176.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,859 : 65,176.50 = 65,176.50 : x
2. Step 2: Convert to fraction form
   29,859/65,176.50 = 65,176.50/x
3. Step 3: Cross multiply
   29,859x = 65,176.50 × 65,176.50
4. Step 4: Simplify right side
   29,859x = 4,247,976,152.25
5. Step 5: Solve for x
   x = 4,247,976,152.25/29,859
6. Step 6: Final answer
   x = 142,267.86