Finding the Third Proportional to 42,196 and 99,586

Step by Step Solution

1. Step 1: Write the proportion equation
   42,196 : 99,586 = 99,586 : x
2. Step 2: Convert to fraction form
   42,196/99,586 = 99,586/x
3. Step 3: Cross multiply
   42,196x = 99,586 × 99,586
4. Step 4: Simplify right side
   42,196x = 9,917,371,396
5. Step 5: Solve for x
   x = 9,917,371,396/42,196
6. Step 6: Final answer
   x = 235,031.08