Finding the Third Proportional to 78,817 and 117,937.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,817 : 117,937.50 = 117,937.50 : x
2. Step 2: Convert to fraction form
   78,817/117,937.50 = 117,937.50/x
3. Step 3: Cross multiply
   78,817x = 117,937.50 × 117,937.50
4. Step 4: Simplify right side
   78,817x = 13,909,253,906.25
5. Step 5: Solve for x
   x = 13,909,253,906.25/78,817
6. Step 6: Final answer
   x = 176,475.30