Finding the Third Proportional to 89,624 and 195,053

Step by Step Solution

1. Step 1: Write the proportion equation
   89,624 : 195,053 = 195,053 : x
2. Step 2: Convert to fraction form
   89,624/195,053 = 195,053/x
3. Step 3: Cross multiply
   89,624x = 195,053 × 195,053
4. Step 4: Simplify right side
   89,624x = 38,045,672,809
5. Step 5: Solve for x
   x = 38,045,672,809/89,624
6. Step 6: Final answer
   x = 424,503.18