Finding the Third Proportional to 126,319 and 185,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,319 : 185,784.50 = 185,784.50 : x
2. Step 2: Convert to fraction form
   126,319/185,784.50 = 185,784.50/x
3. Step 3: Cross multiply
   126,319x = 185,784.50 × 185,784.50
4. Step 4: Simplify right side
   126,319x = 34,515,880,440.25
5. Step 5: Solve for x
   x = 34,515,880,440.25/126,319
6. Step 6: Final answer
   x = 273,243.78