Finding the Third Proportional to 52,188 and 116,328.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,188 : 116,328.50 = 116,328.50 : x
2. Step 2: Convert to fraction form
   52,188/116,328.50 = 116,328.50/x
3. Step 3: Cross multiply
   52,188x = 116,328.50 × 116,328.50
4. Step 4: Simplify right side
   52,188x = 13,532,319,912.25
5. Step 5: Solve for x
   x = 13,532,319,912.25/52,188
6. Step 6: Final answer
   x = 259,299.45