Finding the Third Proportional to 115,848 and 270,655.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,848 : 270,655.50 = 270,655.50 : x
2. Step 2: Convert to fraction form
   115,848/270,655.50 = 270,655.50/x
3. Step 3: Cross multiply
   115,848x = 270,655.50 × 270,655.50
4. Step 4: Simplify right side
   115,848x = 73,254,399,680.25
5. Step 5: Solve for x
   x = 73,254,399,680.25/115,848
6. Step 6: Final answer
   x = 632,332.02