Finding the Third Proportional to 139,732.50 and 197,529

Step by Step Solution

1. Step 1: Write the proportion equation
   139,732.50 : 197,529 = 197,529 : x
2. Step 2: Convert to fraction form
   139,732.50/197,529 = 197,529/x
3. Step 3: Cross multiply
   139,732.50x = 197,529 × 197,529
4. Step 4: Simplify right side
   139,732.50x = 39,017,705,841
5. Step 5: Solve for x
   x = 39,017,705,841/139,732.50
6. Step 6: Final answer
   x = 279,231.43