Finding the Third Proportional to 90,234 and 194,076

Step by Step Solution

1. Step 1: Write the proportion equation
   90,234 : 194,076 = 194,076 : x
2. Step 2: Convert to fraction form
   90,234/194,076 = 194,076/x
3. Step 3: Cross multiply
   90,234x = 194,076 × 194,076
4. Step 4: Simplify right side
   90,234x = 37,665,493,776
5. Step 5: Solve for x
   x = 37,665,493,776/90,234
6. Step 6: Final answer
   x = 417,420.19