Finding the Third Proportional to 139,731 and 197,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   139,731 : 197,527.50 = 197,527.50 : x
2. Step 2: Convert to fraction form
   139,731/197,527.50 = 197,527.50/x
3. Step 3: Cross multiply
   139,731x = 197,527.50 × 197,527.50
4. Step 4: Simplify right side
   139,731x = 39,017,113,256.25
5. Step 5: Solve for x
   x = 39,017,113,256.25/139,731
6. Step 6: Final answer
   x = 279,230.19