Finding the Third Proportional to 65,412 and 141,275.25

Step by Step Solution

1. Step 1: Write the proportion equation
   65,412 : 141,275.25 = 141,275.25 : x
2. Step 2: Convert to fraction form
   65,412/141,275.25 = 141,275.25/x
3. Step 3: Cross multiply
   65,412x = 141,275.25 × 141,275.25
4. Step 4: Simplify right side
   65,412x = 19,958,696,262.56
5. Step 5: Solve for x
   x = 19,958,696,262.56/65,412
6. Step 6: Final answer
   x = 305,122.86