Finding the Third Proportional to 55,352 and 114,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,352 : 114,642.50 = 114,642.50 : x
2. Step 2: Convert to fraction form
   55,352/114,642.50 = 114,642.50/x
3. Step 3: Cross multiply
   55,352x = 114,642.50 × 114,642.50
4. Step 4: Simplify right side
   55,352x = 13,142,902,806.25
5. Step 5: Solve for x
   x = 13,142,902,806.25/55,352
6. Step 6: Final answer
   x = 237,442.24