Finding the Third Proportional to 184,666.50 and 301,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   184,666.50 : 301,513.50 = 301,513.50 : x
2. Step 2: Convert to fraction form
   184,666.50/301,513.50 = 301,513.50/x
3. Step 3: Cross multiply
   184,666.50x = 301,513.50 × 301,513.50
4. Step 4: Simplify right side
   184,666.50x = 90,910,390,682.25
5. Step 5: Solve for x
   x = 90,910,390,682.25/184,666.50
6. Step 6: Final answer
   x = 492,294.98