Finding the Third Proportional to 156,840 and 333,909

Step by Step Solution

1. Step 1: Write the proportion equation
   156,840 : 333,909 = 333,909 : x
2. Step 2: Convert to fraction form
   156,840/333,909 = 333,909/x
3. Step 3: Cross multiply
   156,840x = 333,909 × 333,909
4. Step 4: Simplify right side
   156,840x = 111,495,220,281
5. Step 5: Solve for x
   x = 111,495,220,281/156,840
6. Step 6: Final answer
   x = 710,885.11