Finding the Third Proportional to 76,914 and 117,801

Step by Step Solution

1. Step 1: Write the proportion equation
   76,914 : 117,801 = 117,801 : x
2. Step 2: Convert to fraction form
   76,914/117,801 = 117,801/x
3. Step 3: Cross multiply
   76,914x = 117,801 × 117,801
4. Step 4: Simplify right side
   76,914x = 13,877,075,601
5. Step 5: Solve for x
   x = 13,877,075,601/76,914
6. Step 6: Final answer
   x = 180,423.27