Finding the Third Proportional to 138,861 and 196,627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,861 : 196,627.50 = 196,627.50 : x
2. Step 2: Convert to fraction form
   138,861/196,627.50 = 196,627.50/x
3. Step 3: Cross multiply
   138,861x = 196,627.50 × 196,627.50
4. Step 4: Simplify right side
   138,861x = 38,662,373,756.25
5. Step 5: Solve for x
   x = 38,662,373,756.25/138,861
6. Step 6: Final answer
   x = 278,425.00