Finding the Third Proportional to 89,318 and 194,134

Step by Step Solution

1. Step 1: Write the proportion equation
   89,318 : 194,134 = 194,134 : x
2. Step 2: Convert to fraction form
   89,318/194,134 = 194,134/x
3. Step 3: Cross multiply
   89,318x = 194,134 × 194,134
4. Step 4: Simplify right side
   89,318x = 37,688,009,956
5. Step 5: Solve for x
   x = 37,688,009,956/89,318
6. Step 6: Final answer
   x = 421,953.13