Finding the Third Proportional to 78,462 and 118,429.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,462 : 118,429.50 = 118,429.50 : x
2. Step 2: Convert to fraction form
   78,462/118,429.50 = 118,429.50/x
3. Step 3: Cross multiply
   78,462x = 118,429.50 × 118,429.50
4. Step 4: Simplify right side
   78,462x = 14,025,546,470.25
5. Step 5: Solve for x
   x = 14,025,546,470.25/78,462
6. Step 6: Final answer
   x = 178,755.91