Finding the Third Proportional to 89,752.50 and 195,264

Step by Step Solution

1. Step 1: Write the proportion equation
   89,752.50 : 195,264 = 195,264 : x
2. Step 2: Convert to fraction form
   89,752.50/195,264 = 195,264/x
3. Step 3: Cross multiply
   89,752.50x = 195,264 × 195,264
4. Step 4: Simplify right side
   89,752.50x = 38,128,029,696
5. Step 5: Solve for x
   x = 38,128,029,696/89,752.50
6. Step 6: Final answer
   x = 424,813.01