Finding the Third Proportional to 78,466 and 118,435.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,466 : 118,435.50 = 118,435.50 : x
2. Step 2: Convert to fraction form
   78,466/118,435.50 = 118,435.50/x
3. Step 3: Cross multiply
   78,466x = 118,435.50 × 118,435.50
4. Step 4: Simplify right side
   78,466x = 14,026,967,660.25
5. Step 5: Solve for x
   x = 14,026,967,660.25/78,466
6. Step 6: Final answer
   x = 178,764.91