Finding the Third Proportional to 59,394 and 123,685.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,394 : 123,685.50 = 123,685.50 : x
2. Step 2: Convert to fraction form
   59,394/123,685.50 = 123,685.50/x
3. Step 3: Cross multiply
   59,394x = 123,685.50 × 123,685.50
4. Step 4: Simplify right side
   59,394x = 15,298,102,910.25
5. Step 5: Solve for x
   x = 15,298,102,910.25/59,394
6. Step 6: Final answer
   x = 257,569.84