Finding the Third Proportional to 55,164 and 83,353.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,164 : 83,353.50 = 83,353.50 : x
2. Step 2: Convert to fraction form
   55,164/83,353.50 = 83,353.50/x
3. Step 3: Cross multiply
   55,164x = 83,353.50 × 83,353.50
4. Step 4: Simplify right side
   55,164x = 6,947,805,962.25
5. Step 5: Solve for x
   x = 6,947,805,962.25/55,164
6. Step 6: Final answer
   x = 125,948.19