Finding the Third Proportional to 90,829 and 141,763

Step by Step Solution

1. Step 1: Write the proportion equation
   90,829 : 141,763 = 141,763 : x
2. Step 2: Convert to fraction form
   90,829/141,763 = 141,763/x
3. Step 3: Cross multiply
   90,829x = 141,763 × 141,763
4. Step 4: Simplify right side
   90,829x = 20,096,748,169
5. Step 5: Solve for x
   x = 20,096,748,169/90,829
6. Step 6: Final answer
   x = 221,259.16