Finding the Third Proportional to 34,092 and 79,627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,092 : 79,627.50 = 79,627.50 : x
2. Step 2: Convert to fraction form
   34,092/79,627.50 = 79,627.50/x
3. Step 3: Cross multiply
   34,092x = 79,627.50 × 79,627.50
4. Step 4: Simplify right side
   34,092x = 6,340,538,756.25
5. Step 5: Solve for x
   x = 6,340,538,756.25/34,092
6. Step 6: Final answer
   x = 185,983.19