Finding the Third Proportional to 71,773 and 102,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,773 : 102,738.50 = 102,738.50 : x
2. Step 2: Convert to fraction form
   71,773/102,738.50 = 102,738.50/x
3. Step 3: Cross multiply
   71,773x = 102,738.50 × 102,738.50
4. Step 4: Simplify right side
   71,773x = 10,555,199,382.25
5. Step 5: Solve for x
   x = 10,555,199,382.25/71,773
6. Step 6: Final answer
   x = 147,063.65