Finding the Third Proportional to 38,583 and 78,238.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,583 : 78,238.50 = 78,238.50 : x
2. Step 2: Convert to fraction form
   38,583/78,238.50 = 78,238.50/x
3. Step 3: Cross multiply
   38,583x = 78,238.50 × 78,238.50
4. Step 4: Simplify right side
   38,583x = 6,121,262,882.25
5. Step 5: Solve for x
   x = 6,121,262,882.25/38,583
6. Step 6: Final answer
   x = 158,651.81