Finding the Third Proportional to 119,953.50 and 277,695

Step by Step Solution

1. Step 1: Write the proportion equation
   119,953.50 : 277,695 = 277,695 : x
2. Step 2: Convert to fraction form
   119,953.50/277,695 = 277,695/x
3. Step 3: Cross multiply
   119,953.50x = 277,695 × 277,695
4. Step 4: Simplify right side
   119,953.50x = 77,114,513,025
5. Step 5: Solve for x
   x = 77,114,513,025/119,953.50
6. Step 6: Final answer
   x = 642,870.05