Finding the Third Proportional to 126,532.50 and 194,026.69

Step by Step Solution

1. Step 1: Write the proportion equation
   126,532.50 : 194,026.69 = 194,026.69 : x
2. Step 2: Convert to fraction form
   126,532.50/194,026.69 = 194,026.69/x
3. Step 3: Cross multiply
   126,532.50x = 194,026.69 × 194,026.69
4. Step 4: Simplify right side
   126,532.50x = 37,646,355,462.22
5. Step 5: Solve for x
   x = 37,646,355,462.22/126,532.50
6. Step 6: Final answer
   x = 297,523.21