Finding the Third Proportional to 22,578 and 53,302.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,578 : 53,302.50 = 53,302.50 : x
2. Step 2: Convert to fraction form
   22,578/53,302.50 = 53,302.50/x
3. Step 3: Cross multiply
   22,578x = 53,302.50 × 53,302.50
4. Step 4: Simplify right side
   22,578x = 2,841,156,506.25
5. Step 5: Solve for x
   x = 2,841,156,506.25/22,578
6. Step 6: Final answer
   x = 125,837.39