Finding the Third Proportional to 106,666.50 and 228,513

Step by Step Solution

1. Step 1: Write the proportion equation
   106,666.50 : 228,513 = 228,513 : x
2. Step 2: Convert to fraction form
   106,666.50/228,513 = 228,513/x
3. Step 3: Cross multiply
   106,666.50x = 228,513 × 228,513
4. Step 4: Simplify right side
   106,666.50x = 52,218,191,169
5. Step 5: Solve for x
   x = 52,218,191,169/106,666.50
6. Step 6: Final answer
   x = 489,546.31