Finding the Third Proportional to 139,294.50 and 196,913.25

Step by Step Solution

1. Step 1: Write the proportion equation
   139,294.50 : 196,913.25 = 196,913.25 : x
2. Step 2: Convert to fraction form
   139,294.50/196,913.25 = 196,913.25/x
3. Step 3: Cross multiply
   139,294.50x = 196,913.25 × 196,913.25
4. Step 4: Simplify right side
   139,294.50x = 38,774,828,025.56
5. Step 5: Solve for x
   x = 38,774,828,025.56/139,294.50
6. Step 6: Final answer
   x = 278,365.82