Finding the Third Proportional to 100,147.50 and 203,061

Step by Step Solution

1. Step 1: Write the proportion equation
   100,147.50 : 203,061 = 203,061 : x
2. Step 2: Convert to fraction form
   100,147.50/203,061 = 203,061/x
3. Step 3: Cross multiply
   100,147.50x = 203,061 × 203,061
4. Step 4: Simplify right side
   100,147.50x = 41,233,769,721
5. Step 5: Solve for x
   x = 41,233,769,721/100,147.50
6. Step 6: Final answer
   x = 411,730.39