Finding the Third Proportional to 65,706 and 136,075.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,706 : 136,075.50 = 136,075.50 : x
2. Step 2: Convert to fraction form
   65,706/136,075.50 = 136,075.50/x
3. Step 3: Cross multiply
   65,706x = 136,075.50 × 136,075.50
4. Step 4: Simplify right side
   65,706x = 18,516,541,700.25
5. Step 5: Solve for x
   x = 18,516,541,700.25/65,706
6. Step 6: Final answer
   x = 281,808.99