Finding the Third Proportional to 89,931.50 and 194,272

Step by Step Solution

1. Step 1: Write the proportion equation
   89,931.50 : 194,272 = 194,272 : x
2. Step 2: Convert to fraction form
   89,931.50/194,272 = 194,272/x
3. Step 3: Cross multiply
   89,931.50x = 194,272 × 194,272
4. Step 4: Simplify right side
   89,931.50x = 37,741,609,984
5. Step 5: Solve for x
   x = 37,741,609,984/89,931.50
6. Step 6: Final answer
   x = 419,670.64