Finding the Third Proportional to 108,516.38 and 172,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   108,516.38 : 172,678.50 = 172,678.50 : x
2. Step 2: Convert to fraction form
   108,516.38/172,678.50 = 172,678.50/x
3. Step 3: Cross multiply
   108,516.38x = 172,678.50 × 172,678.50
4. Step 4: Simplify right side
   108,516.38x = 29,817,864,362.25
5. Step 5: Solve for x
   x = 29,817,864,362.25/108,516.38
6. Step 6: Final answer
   x = 274,777.56