Finding the Third Proportional to 100,969.50 and 215,061

Step by Step Solution

1. Step 1: Write the proportion equation
   100,969.50 : 215,061 = 215,061 : x
2. Step 2: Convert to fraction form
   100,969.50/215,061 = 215,061/x
3. Step 3: Cross multiply
   100,969.50x = 215,061 × 215,061
4. Step 4: Simplify right side
   100,969.50x = 46,251,233,721
5. Step 5: Solve for x
   x = 46,251,233,721/100,969.50
6. Step 6: Final answer
   x = 458,071.34