Finding the Third Proportional to 78,417 and 118,597.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,417 : 118,597.50 = 118,597.50 : x
2. Step 2: Convert to fraction form
   78,417/118,597.50 = 118,597.50/x
3. Step 3: Cross multiply
   78,417x = 118,597.50 × 118,597.50
4. Step 4: Simplify right side
   78,417x = 14,065,367,006.25
5. Step 5: Solve for x
   x = 14,065,367,006.25/78,417
6. Step 6: Final answer
   x = 179,366.30