Finding the Third Proportional to 100,248 and 233,116

Step by Step Solution

1. Step 1: Write the proportion equation
   100,248 : 233,116 = 233,116 : x
2. Step 2: Convert to fraction form
   100,248/233,116 = 233,116/x
3. Step 3: Cross multiply
   100,248x = 233,116 × 233,116
4. Step 4: Simplify right side
   100,248x = 54,343,069,456
5. Step 5: Solve for x
   x = 54,343,069,456/100,248
6. Step 6: Final answer
   x = 542,086.32