Finding the Third Proportional to 156,748 and 333,464

Step by Step Solution

1. Step 1: Write the proportion equation
   156,748 : 333,464 = 333,464 : x
2. Step 2: Convert to fraction form
   156,748/333,464 = 333,464/x
3. Step 3: Cross multiply
   156,748x = 333,464 × 333,464
4. Step 4: Simplify right side
   156,748x = 111,198,239,296
5. Step 5: Solve for x
   x = 111,198,239,296/156,748
6. Step 6: Final answer
   x = 709,407.71