Finding the Third Proportional to 65,913 and 102,145.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,913 : 102,145.50 = 102,145.50 : x
2. Step 2: Convert to fraction form
   65,913/102,145.50 = 102,145.50/x
3. Step 3: Cross multiply
   65,913x = 102,145.50 × 102,145.50
4. Step 4: Simplify right side
   65,913x = 10,433,703,170.25
5. Step 5: Solve for x
   x = 10,433,703,170.25/65,913
6. Step 6: Final answer
   x = 158,295.07