Finding the Third Proportional to 75,654 and 111,290.63

Step by Step Solution

1. Step 1: Write the proportion equation
   75,654 : 111,290.63 = 111,290.63 : x
2. Step 2: Convert to fraction form
   75,654/111,290.63 = 111,290.63/x
3. Step 3: Cross multiply
   75,654x = 111,290.63 × 111,290.63
4. Step 4: Simplify right side
   75,654x = 12,385,603,212.89
5. Step 5: Solve for x
   x = 12,385,603,212.89/75,654
6. Step 6: Final answer
   x = 163,713.79