Finding the Third Proportional to 38,199 and 83,928

Step by Step Solution

1. Step 1: Write the proportion equation
   38,199 : 83,928 = 83,928 : x
2. Step 2: Convert to fraction form
   38,199/83,928 = 83,928/x
3. Step 3: Cross multiply
   38,199x = 83,928 × 83,928
4. Step 4: Simplify right side
   38,199x = 7,043,909,184
5. Step 5: Solve for x
   x = 7,043,909,184/38,199
6. Step 6: Final answer
   x = 184,400.36