Finding the Third Proportional to 89,250 and 194,484

Step by Step Solution

1. Step 1: Write the proportion equation
   89,250 : 194,484 = 194,484 : x
2. Step 2: Convert to fraction form
   89,250/194,484 = 194,484/x
3. Step 3: Cross multiply
   89,250x = 194,484 × 194,484
4. Step 4: Simplify right side
   89,250x = 37,824,026,256
5. Step 5: Solve for x
   x = 37,824,026,256/89,250
6. Step 6: Final answer
   x = 423,798.61