Finding the Third Proportional to 96,213 and 143,293.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,213 : 143,293.50 = 143,293.50 : x
2. Step 2: Convert to fraction form
   96,213/143,293.50 = 143,293.50/x
3. Step 3: Cross multiply
   96,213x = 143,293.50 × 143,293.50
4. Step 4: Simplify right side
   96,213x = 20,533,027,142.25
5. Step 5: Solve for x
   x = 20,533,027,142.25/96,213
6. Step 6: Final answer
   x = 213,412.19