Finding the Third Proportional to 121,677 and 262,075.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,677 : 262,075.50 = 262,075.50 : x
2. Step 2: Convert to fraction form
   121,677/262,075.50 = 262,075.50/x
3. Step 3: Cross multiply
   121,677x = 262,075.50 × 262,075.50
4. Step 4: Simplify right side
   121,677x = 68,683,567,700.25
5. Step 5: Solve for x
   x = 68,683,567,700.25/121,677
6. Step 6: Final answer
   x = 564,474.53