Finding the Third Proportional to 92,140 and 193,564

Step by Step Solution

1. Step 1: Write the proportion equation
   92,140 : 193,564 = 193,564 : x
2. Step 2: Convert to fraction form
   92,140/193,564 = 193,564/x
3. Step 3: Cross multiply
   92,140x = 193,564 × 193,564
4. Step 4: Simplify right side
   92,140x = 37,467,022,096
5. Step 5: Solve for x
   x = 37,467,022,096/92,140
6. Step 6: Final answer
   x = 406,631.45