Finding the Third Proportional to 78,801 and 117,923.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78,801 : 117,923.25 = 117,923.25 : x
2. Step 2: Convert to fraction form
   78,801/117,923.25 = 117,923.25/x
3. Step 3: Cross multiply
   78,801x = 117,923.25 × 117,923.25
4. Step 4: Simplify right side
   78,801x = 13,905,892,890.56
5. Step 5: Solve for x
   x = 13,905,892,890.56/78,801
6. Step 6: Final answer
   x = 176,468.48