Finding the Third Proportional to 89,412 and 193,343.25

Step by Step Solution

1. Step 1: Write the proportion equation
   89,412 : 193,343.25 = 193,343.25 : x
2. Step 2: Convert to fraction form
   89,412/193,343.25 = 193,343.25/x
3. Step 3: Cross multiply
   89,412x = 193,343.25 × 193,343.25
4. Step 4: Simplify right side
   89,412x = 37,381,612,320.56
5. Step 5: Solve for x
   x = 37,381,612,320.56/89,412
6. Step 6: Final answer
   x = 418,082.72