Finding the Third Proportional to 156,926 and 333,454

Step by Step Solution

1. Step 1: Write the proportion equation
   156,926 : 333,454 = 333,454 : x
2. Step 2: Convert to fraction form
   156,926/333,454 = 333,454/x
3. Step 3: Cross multiply
   156,926x = 333,454 × 333,454
4. Step 4: Simplify right side
   156,926x = 111,191,570,116
5. Step 5: Solve for x
   x = 111,191,570,116/156,926
6. Step 6: Final answer
   x = 708,560.53