Finding the Third Proportional to 78,456 and 118,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,456 : 118,417.50 = 118,417.50 : x
2. Step 2: Convert to fraction form
   78,456/118,417.50 = 118,417.50/x
3. Step 3: Cross multiply
   78,456x = 118,417.50 × 118,417.50
4. Step 4: Simplify right side
   78,456x = 14,022,704,306.25
5. Step 5: Solve for x
   x = 14,022,704,306.25/78,456
6. Step 6: Final answer
   x = 178,733.36