Finding the Third Proportional to 78,054 and 165,830

Step by Step Solution

1. Step 1: Write the proportion equation
   78,054 : 165,830 = 165,830 : x
2. Step 2: Convert to fraction form
   78,054/165,830 = 165,830/x
3. Step 3: Cross multiply
   78,054x = 165,830 × 165,830
4. Step 4: Simplify right side
   78,054x = 27,499,588,900
5. Step 5: Solve for x
   x = 27,499,588,900/78,054
6. Step 6: Final answer
   x = 352,314.92