Finding the Third Proportional to 65,694 and 100,180.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,694 : 100,180.50 = 100,180.50 : x
2. Step 2: Convert to fraction form
   65,694/100,180.50 = 100,180.50/x
3. Step 3: Cross multiply
   65,694x = 100,180.50 × 100,180.50
4. Step 4: Simplify right side
   65,694x = 10,036,132,580.25
5. Step 5: Solve for x
   x = 10,036,132,580.25/65,694
6. Step 6: Final answer
   x = 152,770.92