Finding the Third Proportional to 301,595.50 and 466,564

Step by Step Solution

1. Step 1: Write the proportion equation
   301,595.50 : 466,564 = 466,564 : x
2. Step 2: Convert to fraction form
   301,595.50/466,564 = 466,564/x
3. Step 3: Cross multiply
   301,595.50x = 466,564 × 466,564
4. Step 4: Simplify right side
   301,595.50x = 217,681,966,096
5. Step 5: Solve for x
   x = 217,681,966,096/301,595.50
6. Step 6: Final answer
   x = 721,767.95