Finding the Third Proportional to 65,802 and 102,073.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,802 : 102,073.50 = 102,073.50 : x
2. Step 2: Convert to fraction form
   65,802/102,073.50 = 102,073.50/x
3. Step 3: Cross multiply
   65,802x = 102,073.50 × 102,073.50
4. Step 4: Simplify right side
   65,802x = 10,418,999,402.25
5. Step 5: Solve for x
   x = 10,418,999,402.25/65,802
6. Step 6: Final answer
   x = 158,338.64