Finding the Third Proportional to 78,399 and 118,327.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,399 : 118,327.50 = 118,327.50 : x
2. Step 2: Convert to fraction form
   78,399/118,327.50 = 118,327.50/x
3. Step 3: Cross multiply
   78,399x = 118,327.50 × 118,327.50
4. Step 4: Simplify right side
   78,399x = 14,001,397,256.25
5. Step 5: Solve for x
   x = 14,001,397,256.25/78,399
6. Step 6: Final answer
   x = 178,591.53