Finding the Third Proportional to 93,213 and 141,834

Step by Step Solution

1. Step 1: Write the proportion equation
   93,213 : 141,834 = 141,834 : x
2. Step 2: Convert to fraction form
   93,213/141,834 = 141,834/x
3. Step 3: Cross multiply
   93,213x = 141,834 × 141,834
4. Step 4: Simplify right side
   93,213x = 20,116,883,556
5. Step 5: Solve for x
   x = 20,116,883,556/93,213
6. Step 6: Final answer
   x = 215,816.29