Finding the Third Proportional to 52,814 and 117,436.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,814 : 117,436.50 = 117,436.50 : x
2. Step 2: Convert to fraction form
   52,814/117,436.50 = 117,436.50/x
3. Step 3: Cross multiply
   52,814x = 117,436.50 × 117,436.50
4. Step 4: Simplify right side
   52,814x = 13,791,331,532.25
5. Step 5: Solve for x
   x = 13,791,331,532.25/52,814
6. Step 6: Final answer
   x = 261,130.22