Finding the Third Proportional to 156,806 and 338,764

Step by Step Solution

1. Step 1: Write the proportion equation
   156,806 : 338,764 = 338,764 : x
2. Step 2: Convert to fraction form
   156,806/338,764 = 338,764/x
3. Step 3: Cross multiply
   156,806x = 338,764 × 338,764
4. Step 4: Simplify right side
   156,806x = 114,761,047,696
5. Step 5: Solve for x
   x = 114,761,047,696/156,806
6. Step 6: Final answer
   x = 731,866.43