Finding the Third Proportional to 126,192 and 269,893.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,192 : 269,893.50 = 269,893.50 : x
2. Step 2: Convert to fraction form
   126,192/269,893.50 = 269,893.50/x
3. Step 3: Cross multiply
   126,192x = 269,893.50 × 269,893.50
4. Step 4: Simplify right side
   126,192x = 72,842,501,342.25
5. Step 5: Solve for x
   x = 72,842,501,342.25/126,192
6. Step 6: Final answer
   x = 577,235.49