Finding the Third Proportional to 78,801.75 and 117,922.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,801.75 : 117,922.50 = 117,922.50 : x
2. Step 2: Convert to fraction form
   78,801.75/117,922.50 = 117,922.50/x
3. Step 3: Cross multiply
   78,801.75x = 117,922.50 × 117,922.50
4. Step 4: Simplify right side
   78,801.75x = 13,905,716,006.25
5. Step 5: Solve for x
   x = 13,905,716,006.25/78,801.75
6. Step 6: Final answer
   x = 176,464.56