Finding the Third Proportional to 164,655 and 254,191.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,655 : 254,191.50 = 254,191.50 : x
2. Step 2: Convert to fraction form
   164,655/254,191.50 = 254,191.50/x
3. Step 3: Cross multiply
   164,655x = 254,191.50 × 254,191.50
4. Step 4: Simplify right side
   164,655x = 64,613,318,672.25
5. Step 5: Solve for x
   x = 64,613,318,672.25/164,655
6. Step 6: Final answer
   x = 392,416.38