Finding the Third Proportional to 105,412.50 and 136,795.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105,412.50 : 136,795.25 = 136,795.25 : x
2. Step 2: Convert to fraction form
   105,412.50/136,795.25 = 136,795.25/x
3. Step 3: Cross multiply
   105,412.50x = 136,795.25 × 136,795.25
4. Step 4: Simplify right side
   105,412.50x = 18,712,940,422.56
5. Step 5: Solve for x
   x = 18,712,940,422.56/105,412.50
6. Step 6: Final answer
   x = 177,521.08