Finding the Third Proportional to 156,926 and 345,524

Step by Step Solution

1. Step 1: Write the proportion equation
   156,926 : 345,524 = 345,524 : x
2. Step 2: Convert to fraction form
   156,926/345,524 = 345,524/x
3. Step 3: Cross multiply
   156,926x = 345,524 × 345,524
4. Step 4: Simplify right side
   156,926x = 119,386,834,576
5. Step 5: Solve for x
   x = 119,386,834,576/156,926
6. Step 6: Final answer
   x = 760,784.28