Finding the Third Proportional to 93,636 and 142,380

Step by Step Solution

1. Step 1: Write the proportion equation
   93,636 : 142,380 = 142,380 : x
2. Step 2: Convert to fraction form
   93,636/142,380 = 142,380/x
3. Step 3: Cross multiply
   93,636x = 142,380 × 142,380
4. Step 4: Simplify right side
   93,636x = 20,272,064,400
5. Step 5: Solve for x
   x = 20,272,064,400/93,636
6. Step 6: Final answer
   x = 216,498.62