Finding the Third Proportional to 52,314.75 and 114,410.25

Step by Step Solution

1. Step 1: Write the proportion equation
   52,314.75 : 114,410.25 = 114,410.25 : x
2. Step 2: Convert to fraction form
   52,314.75/114,410.25 = 114,410.25/x
3. Step 3: Cross multiply
   52,314.75x = 114,410.25 × 114,410.25
4. Step 4: Simplify right side
   52,314.75x = 13,089,705,305.06
5. Step 5: Solve for x
   x = 13,089,705,305.06/52,314.75
6. Step 6: Final answer
   x = 250,210.61