Finding the Third Proportional to 90,496 and 193,010.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,496 : 193,010.50 = 193,010.50 : x
2. Step 2: Convert to fraction form
   90,496/193,010.50 = 193,010.50/x
3. Step 3: Cross multiply
   90,496x = 193,010.50 × 193,010.50
4. Step 4: Simplify right side
   90,496x = 37,253,053,110.25
5. Step 5: Solve for x
   x = 37,253,053,110.25/90,496
6. Step 6: Final answer
   x = 411,654.14