Finding the Third Proportional to 65,726 and 107,314.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,726 : 107,314.50 = 107,314.50 : x
2. Step 2: Convert to fraction form
   65,726/107,314.50 = 107,314.50/x
3. Step 3: Cross multiply
   65,726x = 107,314.50 × 107,314.50
4. Step 4: Simplify right side
   65,726x = 11,516,401,910.25
5. Step 5: Solve for x
   x = 11,516,401,910.25/65,726
6. Step 6: Final answer
   x = 175,218.36