Finding the Third Proportional to 64,316 and 152,021

Step by Step Solution

1. Step 1: Write the proportion equation
   64,316 : 152,021 = 152,021 : x
2. Step 2: Convert to fraction form
   64,316/152,021 = 152,021/x
3. Step 3: Cross multiply
   64,316x = 152,021 × 152,021
4. Step 4: Simplify right side
   64,316x = 23,110,384,441
5. Step 5: Solve for x
   x = 23,110,384,441/64,316
6. Step 6: Final answer
   x = 359,325.59