Finding the Third Proportional to 56,946 and 120,899.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,946 : 120,899.50 = 120,899.50 : x
2. Step 2: Convert to fraction form
   56,946/120,899.50 = 120,899.50/x
3. Step 3: Cross multiply
   56,946x = 120,899.50 × 120,899.50
4. Step 4: Simplify right side
   56,946x = 14,616,689,100.25
5. Step 5: Solve for x
   x = 14,616,689,100.25/56,946
6. Step 6: Final answer
   x = 256,676.31