Finding the Third Proportional to 164,798 and 359,788

Step by Step Solution

1. Step 1: Write the proportion equation
   164,798 : 359,788 = 359,788 : x
2. Step 2: Convert to fraction form
   164,798/359,788 = 359,788/x
3. Step 3: Cross multiply
   164,798x = 359,788 × 359,788
4. Step 4: Simplify right side
   164,798x = 129,447,404,944
5. Step 5: Solve for x
   x = 129,447,404,944/164,798
6. Step 6: Final answer
   x = 785,491.36