Finding the Third Proportional to 55,178 and 85,593.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,178 : 85,593.50 = 85,593.50 : x
2. Step 2: Convert to fraction form
   55,178/85,593.50 = 85,593.50/x
3. Step 3: Cross multiply
   55,178x = 85,593.50 × 85,593.50
4. Step 4: Simplify right side
   55,178x = 7,326,247,242.25
5. Step 5: Solve for x
   x = 7,326,247,242.25/55,178
6. Step 6: Final answer
   x = 132,774.79