Finding the Third Proportional to 90,199 and 142,820

Step by Step Solution

1. Step 1: Write the proportion equation
   90,199 : 142,820 = 142,820 : x
2. Step 2: Convert to fraction form
   90,199/142,820 = 142,820/x
3. Step 3: Cross multiply
   90,199x = 142,820 × 142,820
4. Step 4: Simplify right side
   90,199x = 20,397,552,400
5. Step 5: Solve for x
   x = 20,397,552,400/90,199
6. Step 6: Final answer
   x = 226,139.45