Finding the Third Proportional to 29,198 and 64,300

Step by Step Solution

1. Step 1: Write the proportion equation
   29,198 : 64,300 = 64,300 : x
2. Step 2: Convert to fraction form
   29,198/64,300 = 64,300/x
3. Step 3: Cross multiply
   29,198x = 64,300 × 64,300
4. Step 4: Simplify right side
   29,198x = 4,134,490,000
5. Step 5: Solve for x
   x = 4,134,490,000/29,198
6. Step 6: Final answer
   x = 141,601.82