Finding the Third Proportional to 90,152 and 141,417

Step by Step Solution

1. Step 1: Write the proportion equation
   90,152 : 141,417 = 141,417 : x
2. Step 2: Convert to fraction form
   90,152/141,417 = 141,417/x
3. Step 3: Cross multiply
   90,152x = 141,417 × 141,417
4. Step 4: Simplify right side
   90,152x = 19,998,767,889
5. Step 5: Solve for x
   x = 19,998,767,889/90,152
6. Step 6: Final answer
   x = 221,833.88