Finding the Third Proportional to 52,164 and 112,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,164 : 112,642.50 = 112,642.50 : x
2. Step 2: Convert to fraction form
   52,164/112,642.50 = 112,642.50/x
3. Step 3: Cross multiply
   52,164x = 112,642.50 × 112,642.50
4. Step 4: Simplify right side
   52,164x = 12,688,332,806.25
5. Step 5: Solve for x
   x = 12,688,332,806.25/52,164
6. Step 6: Final answer
   x = 243,239.26