Finding the Third Proportional to 89,250 and 194,050

Step by Step Solution

1. Step 1: Write the proportion equation
   89,250 : 194,050 = 194,050 : x
2. Step 2: Convert to fraction form
   89,250/194,050 = 194,050/x
3. Step 3: Cross multiply
   89,250x = 194,050 × 194,050
4. Step 4: Simplify right side
   89,250x = 37,655,402,500
5. Step 5: Solve for x
   x = 37,655,402,500/89,250
6. Step 6: Final answer
   x = 421,909.27