Finding the Third Proportional to 109,780.50 and 228,174

Step by Step Solution

1. Step 1: Write the proportion equation
   109,780.50 : 228,174 = 228,174 : x
2. Step 2: Convert to fraction form
   109,780.50/228,174 = 228,174/x
3. Step 3: Cross multiply
   109,780.50x = 228,174 × 228,174
4. Step 4: Simplify right side
   109,780.50x = 52,063,374,276
5. Step 5: Solve for x
   x = 52,063,374,276/109,780.50
6. Step 6: Final answer
   x = 474,249.75