Finding the Third Proportional to 75,925.50 and 166,150.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,925.50 : 166,150.50 = 166,150.50 : x
2. Step 2: Convert to fraction form
   75,925.50/166,150.50 = 166,150.50/x
3. Step 3: Cross multiply
   75,925.50x = 166,150.50 × 166,150.50
4. Step 4: Simplify right side
   75,925.50x = 27,605,988,650.25
5. Step 5: Solve for x
   x = 27,605,988,650.25/75,925.50
6. Step 6: Final answer
   x = 363,593.11