Finding the Third Proportional to 138,662 and 219,378.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,662 : 219,378.50 = 219,378.50 : x
2. Step 2: Convert to fraction form
   138,662/219,378.50 = 219,378.50/x
3. Step 3: Cross multiply
   138,662x = 219,378.50 × 219,378.50
4. Step 4: Simplify right side
   138,662x = 48,126,926,262.25
5. Step 5: Solve for x
   x = 48,126,926,262.25/138,662
6. Step 6: Final answer
   x = 347,080.86