Finding the Third Proportional to 55,498.50 and 120,423

Step by Step Solution

1. Step 1: Write the proportion equation
   55,498.50 : 120,423 = 120,423 : x
2. Step 2: Convert to fraction form
   55,498.50/120,423 = 120,423/x
3. Step 3: Cross multiply
   55,498.50x = 120,423 × 120,423
4. Step 4: Simplify right side
   55,498.50x = 14,501,698,929
5. Step 5: Solve for x
   x = 14,501,698,929/55,498.50
6. Step 6: Final answer
   x = 261,298.93