Finding the Third Proportional to 59,523 and 79,348.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,523 : 79,348.50 = 79,348.50 : x
2. Step 2: Convert to fraction form
   59,523/79,348.50 = 79,348.50/x
3. Step 3: Cross multiply
   59,523x = 79,348.50 × 79,348.50
4. Step 4: Simplify right side
   59,523x = 6,296,184,452.25
5. Step 5: Solve for x
   x = 6,296,184,452.25/59,523
6. Step 6: Final answer
   x = 105,777.34