Finding the Third Proportional to 55,938 and 109,036.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,938 : 109,036.50 = 109,036.50 : x
2. Step 2: Convert to fraction form
   55,938/109,036.50 = 109,036.50/x
3. Step 3: Cross multiply
   55,938x = 109,036.50 × 109,036.50
4. Step 4: Simplify right side
   55,938x = 11,888,958,332.25
5. Step 5: Solve for x
   x = 11,888,958,332.25/55,938
6. Step 6: Final answer
   x = 212,538.14