Finding the Third Proportional to 47,773 and 111,557.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,773 : 111,557.50 = 111,557.50 : x
2. Step 2: Convert to fraction form
   47,773/111,557.50 = 111,557.50/x
3. Step 3: Cross multiply
   47,773x = 111,557.50 × 111,557.50
4. Step 4: Simplify right side
   47,773x = 12,445,075,806.25
5. Step 5: Solve for x
   x = 12,445,075,806.25/47,773
6. Step 6: Final answer
   x = 260,504.38