Finding the Third Proportional to 55,692 and 86,176.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,692 : 86,176.50 = 86,176.50 : x
2. Step 2: Convert to fraction form
   55,692/86,176.50 = 86,176.50/x
3. Step 3: Cross multiply
   55,692x = 86,176.50 × 86,176.50
4. Step 4: Simplify right side
   55,692x = 7,426,389,152.25
5. Step 5: Solve for x
   x = 7,426,389,152.25/55,692
6. Step 6: Final answer
   x = 133,347.50