Finding the Third Proportional to 123,835.50 and 271,402.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,835.50 : 271,402.50 = 271,402.50 : x
2. Step 2: Convert to fraction form
   123,835.50/271,402.50 = 271,402.50/x
3. Step 3: Cross multiply
   123,835.50x = 271,402.50 × 271,402.50
4. Step 4: Simplify right side
   123,835.50x = 73,659,317,006.25
5. Step 5: Solve for x
   x = 73,659,317,006.25/123,835.50
6. Step 6: Final answer
   x = 594,815.84