Finding the Third Proportional to 65,934 and 102,262.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,934 : 102,262.50 = 102,262.50 : x
2. Step 2: Convert to fraction form
   65,934/102,262.50 = 102,262.50/x
3. Step 3: Cross multiply
   65,934x = 102,262.50 × 102,262.50
4. Step 4: Simplify right side
   65,934x = 10,457,618,906.25
5. Step 5: Solve for x
   x = 10,457,618,906.25/65,934
6. Step 6: Final answer
   x = 158,607.38