Finding the Third Proportional to 38,190.75 and 83,158.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,190.75 : 83,158.50 = 83,158.50 : x
2. Step 2: Convert to fraction form
   38,190.75/83,158.50 = 83,158.50/x
3. Step 3: Cross multiply
   38,190.75x = 83,158.50 × 83,158.50
4. Step 4: Simplify right side
   38,190.75x = 6,915,336,122.25
5. Step 5: Solve for x
   x = 6,915,336,122.25/38,190.75
6. Step 6: Final answer
   x = 181,073.59