Finding the Third Proportional to 126,822 and 189,886.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,822 : 189,886.50 = 189,886.50 : x
2. Step 2: Convert to fraction form
   126,822/189,886.50 = 189,886.50/x
3. Step 3: Cross multiply
   126,822x = 189,886.50 × 189,886.50
4. Step 4: Simplify right side
   126,822x = 36,056,882,882.25
5. Step 5: Solve for x
   x = 36,056,882,882.25/126,822
6. Step 6: Final answer
   x = 284,310.95