Finding the Third Proportional to 109,714.50 and 146,802.38

Step by Step Solution

1. Step 1: Write the proportion equation
   109,714.50 : 146,802.38 = 146,802.38 : x
2. Step 2: Convert to fraction form
   109,714.50/146,802.38 = 146,802.38/x
3. Step 3: Cross multiply
   109,714.50x = 146,802.38 × 146,802.38
4. Step 4: Simplify right side
   109,714.50x = 21,550,937,305.64
5. Step 5: Solve for x
   x = 21,550,937,305.64/109,714.50
6. Step 6: Final answer
   x = 196,427.43