Finding the Third Proportional to 106,407 and 228,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,407 : 228,493.50 = 228,493.50 : x
2. Step 2: Convert to fraction form
   106,407/228,493.50 = 228,493.50/x
3. Step 3: Cross multiply
   106,407x = 228,493.50 × 228,493.50
4. Step 4: Simplify right side
   106,407x = 52,209,279,542.25
5. Step 5: Solve for x
   x = 52,209,279,542.25/106,407
6. Step 6: Final answer
   x = 490,656.44