Finding the Third Proportional to 89,232 and 194,012

Step by Step Solution

1. Step 1: Write the proportion equation
   89,232 : 194,012 = 194,012 : x
2. Step 2: Convert to fraction form
   89,232/194,012 = 194,012/x
3. Step 3: Cross multiply
   89,232x = 194,012 × 194,012
4. Step 4: Simplify right side
   89,232x = 37,640,656,144
5. Step 5: Solve for x
   x = 37,640,656,144/89,232
6. Step 6: Final answer
   x = 421,829.12