Finding the Third Proportional to 56,724 and 120,898.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,724 : 120,898.50 = 120,898.50 : x
2. Step 2: Convert to fraction form
   56,724/120,898.50 = 120,898.50/x
3. Step 3: Cross multiply
   56,724x = 120,898.50 × 120,898.50
4. Step 4: Simplify right side
   56,724x = 14,616,447,302.25
5. Step 5: Solve for x
   x = 14,616,447,302.25/56,724
6. Step 6: Final answer
   x = 257,676.60