Finding the Third Proportional to 109,212 and 146,761.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,212 : 146,761.50 = 146,761.50 : x
2. Step 2: Convert to fraction form
   109,212/146,761.50 = 146,761.50/x
3. Step 3: Cross multiply
   109,212x = 146,761.50 × 146,761.50
4. Step 4: Simplify right side
   109,212x = 21,538,937,882.25
5. Step 5: Solve for x
   x = 21,538,937,882.25/109,212
6. Step 6: Final answer
   x = 197,221.35