Finding the Third Proportional to 96,900 and 142,159.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,900 : 142,159.50 = 142,159.50 : x
2. Step 2: Convert to fraction form
   96,900/142,159.50 = 142,159.50/x
3. Step 3: Cross multiply
   96,900x = 142,159.50 × 142,159.50
4. Step 4: Simplify right side
   96,900x = 20,209,323,440.25
5. Step 5: Solve for x
   x = 20,209,323,440.25/96,900
6. Step 6: Final answer
   x = 208,558.55